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Finding the Fourth Proportional to 752.24, 1,037.74 and 531.08

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Solution

The fourth proportional to 752.24, 1,037.74 and 531.08 is: 732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.24 : 1,037.74 = 531.08 : x
  2. Step 2: Convert to fraction form
    752.24/1,037.74 = 531.08/x
  3. Step 3: Cross multiply
    752.24x = 1,037.74 × 531.08
  4. Step 4: Simplify right side
    752.24x = 551,122.96
  5. Step 5: Solve for x
    x = 551,122.96/752.24
  6. Step 6: Final answer
    x = 732.64

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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.