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Finding the Fourth Proportional to 724.88, 1,000.53 and 459.61

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Solution

The fourth proportional to 724.88, 1,000.53 and 459.61 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.88 : 1,000.53 = 459.61 : x
  2. Step 2: Convert to fraction form
    724.88/1,000.53 = 459.61/x
  3. Step 3: Cross multiply
    724.88x = 1,000.53 × 459.61
  4. Step 4: Simplify right side
    724.88x = 459,851.09
  5. Step 5: Solve for x
    x = 459,851.09/724.88
  6. Step 6: Final answer
    x = 634.38

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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.