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Finding the Fourth Proportional to 1,178.60, 1,626.20 and 759.10

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Solution

The fourth proportional to 1,178.60, 1,626.20 and 759.10 is: 1,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.60 : 1,626.20 = 759.10 : x
  2. Step 2: Convert to fraction form
    1,178.60/1,626.20 = 759.10/x
  3. Step 3: Cross multiply
    1,178.60x = 1,626.20 × 759.10
  4. Step 4: Simplify right side
    1,178.60x = 1,234,444.35
  5. Step 5: Solve for x
    x = 1,234,444.35/1,178.60
  6. Step 6: Final answer
    x = 1,047.38

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Half scale
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Double scale
Find fourth proportional to 1,179.60, 1,627.58 and 760.10
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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.