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Finding the Fourth Proportional to 752.76, 1,037.17 and 562.92

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Solution

The fourth proportional to 752.76, 1,037.17 and 562.92 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,037.17 = 562.92 : x
  2. Step 2: Convert to fraction form
    752.76/1,037.17 = 562.92/x
  3. Step 3: Cross multiply
    752.76x = 1,037.17 × 562.92
  4. Step 4: Simplify right side
    752.76x = 583,840.55
  5. Step 5: Solve for x
    x = 583,840.55/752.76
  6. Step 6: Final answer
    x = 775.60

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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.