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Finding the Fourth Proportional to 752.39, 1,037.74 and 503.27

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Solution

The fourth proportional to 752.39, 1,037.74 and 503.27 is: 694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.39 : 1,037.74 = 503.27 : x
  2. Step 2: Convert to fraction form
    752.39/1,037.74 = 503.27/x
  3. Step 3: Cross multiply
    752.39x = 1,037.74 × 503.27
  4. Step 4: Simplify right side
    752.39x = 522,260.89
  5. Step 5: Solve for x
    x = 522,260.89/752.39
  6. Step 6: Final answer
    x = 694.14

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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.