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Finding the Fourth Proportional to 727.47, 1,003.92 and 432.75

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Solution

The fourth proportional to 727.47, 1,003.92 and 432.75 is: 597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.47 : 1,003.92 = 432.75 : x
  2. Step 2: Convert to fraction form
    727.47/1,003.92 = 432.75/x
  3. Step 3: Cross multiply
    727.47x = 1,003.92 × 432.75
  4. Step 4: Simplify right side
    727.47x = 434,446.38
  5. Step 5: Solve for x
    x = 434,446.38/727.47
  6. Step 6: Final answer
    x = 597.20

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1.5x scale

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.