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Finding the Fourth Proportional to 727.30, 1,003.70 and 432.52

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Solution

The fourth proportional to 727.30, 1,003.70 and 432.52 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.30 : 1,003.70 = 432.52 : x
  2. Step 2: Convert to fraction form
    727.30/1,003.70 = 432.52/x
  3. Step 3: Cross multiply
    727.30x = 1,003.70 × 432.52
  4. Step 4: Simplify right side
    727.30x = 434,120.32
  5. Step 5: Solve for x
    x = 434,120.32/727.30
  6. Step 6: Final answer
    x = 596.89

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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.