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Finding the Fourth Proportional to 727.52, 1,003.76 and 494.88

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Solution

The fourth proportional to 727.52, 1,003.76 and 494.88 is: 682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.52 : 1,003.76 = 494.88 : x
  2. Step 2: Convert to fraction form
    727.52/1,003.76 = 494.88/x
  3. Step 3: Cross multiply
    727.52x = 1,003.76 × 494.88
  4. Step 4: Simplify right side
    727.52x = 496,740.75
  5. Step 5: Solve for x
    x = 496,740.75/727.52
  6. Step 6: Final answer
    x = 682.79

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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.