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Finding the Fourth Proportional to 752.39, 1,037.71 and 566.49

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Solution

The fourth proportional to 752.39, 1,037.71 and 566.49 is: 781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.39 : 1,037.71 = 566.49 : x
  2. Step 2: Convert to fraction form
    752.39/1,037.71 = 566.49/x
  3. Step 3: Cross multiply
    752.39x = 1,037.71 × 566.49
  4. Step 4: Simplify right side
    752.39x = 587,856.94
  5. Step 5: Solve for x
    x = 587,856.94/752.39
  6. Step 6: Final answer
    x = 781.32

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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.