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Finding the Fourth Proportional to 757.74, 1,046.07 and 524.46

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Solution

The fourth proportional to 757.74, 1,046.07 and 524.46 is: 724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.74 : 1,046.07 = 524.46 : x
  2. Step 2: Convert to fraction form
    757.74/1,046.07 = 524.46/x
  3. Step 3: Cross multiply
    757.74x = 1,046.07 × 524.46
  4. Step 4: Simplify right side
    757.74x = 548,621.87
  5. Step 5: Solve for x
    x = 548,621.87/757.74
  6. Step 6: Final answer
    x = 724.02

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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.