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Finding the Fourth Proportional to 1,182.76, 1,631.40 and 778.76

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Solution

The fourth proportional to 1,182.76, 1,631.40 and 778.76 is: 1,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.76 : 1,631.40 = 778.76 : x
  2. Step 2: Convert to fraction form
    1,182.76/1,631.40 = 778.76/x
  3. Step 3: Cross multiply
    1,182.76x = 1,631.40 × 778.76
  4. Step 4: Simplify right side
    1,182.76x = 1,270,469.06
  5. Step 5: Solve for x
    x = 1,270,469.06/1,182.76
  6. Step 6: Final answer
    x = 1,074.16

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Find fourth proportional to 591.38, 815.70 and 389.38
Half scale
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Double scale
Find fourth proportional to 1,183.76, 1,632.78 and 779.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.