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Finding the Fourth Proportional to 727.52, 1,003.82 and 432.78

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Solution

The fourth proportional to 727.52, 1,003.82 and 432.78 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.52 : 1,003.82 = 432.78 : x
  2. Step 2: Convert to fraction form
    727.52/1,003.82 = 432.78/x
  3. Step 3: Cross multiply
    727.52x = 1,003.82 × 432.78
  4. Step 4: Simplify right side
    727.52x = 434,433.22
  5. Step 5: Solve for x
    x = 434,433.22/727.52
  6. Step 6: Final answer
    x = 597.14

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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.