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Finding the Fourth Proportional to 727.05, 1,002.83 and 432.08

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Solution

The fourth proportional to 727.05, 1,002.83 and 432.08 is: 595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.05 : 1,002.83 = 432.08 : x
  2. Step 2: Convert to fraction form
    727.05/1,002.83 = 432.08/x
  3. Step 3: Cross multiply
    727.05x = 1,002.83 × 432.08
  4. Step 4: Simplify right side
    727.05x = 433,295.61
  5. Step 5: Solve for x
    x = 433,295.61/727.05
  6. Step 6: Final answer
    x = 595.96

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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.