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Finding the Fourth Proportional to 1,238.76, 1,709.18 and 714.79

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Solution

The fourth proportional to 1,238.76, 1,709.18 and 714.79 is: 986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.76 : 1,709.18 = 714.79 : x
  2. Step 2: Convert to fraction form
    1,238.76/1,709.18 = 714.79/x
  3. Step 3: Cross multiply
    1,238.76x = 1,709.18 × 714.79
  4. Step 4: Simplify right side
    1,238.76x = 1,221,698.01
  5. Step 5: Solve for x
    x = 1,221,698.01/1,238.76
  6. Step 6: Final answer
    x = 986.23

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Find fourth proportional to 619.38, 854.59 and 357.39
Half scale
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Double scale
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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.