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Finding the Fourth Proportional to 726.85, 1,003.08 and 432.28

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Solution

The fourth proportional to 726.85, 1,003.08 and 432.28 is: 596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.85 : 1,003.08 = 432.28 : x
  2. Step 2: Convert to fraction form
    726.85/1,003.08 = 432.28/x
  3. Step 3: Cross multiply
    726.85x = 1,003.08 × 432.28
  4. Step 4: Simplify right side
    726.85x = 433,611.42
  5. Step 5: Solve for x
    x = 433,611.42/726.85
  6. Step 6: Final answer
    x = 596.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.