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Finding the Fourth Proportional to 725.13, 999.90 and 538.32

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Solution

The fourth proportional to 725.13, 999.90 and 538.32 is: 742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.13 : 999.90 = 538.32 : x
  2. Step 2: Convert to fraction form
    725.13/999.90 = 538.32/x
  3. Step 3: Cross multiply
    725.13x = 999.90 × 538.32
  4. Step 4: Simplify right side
    725.13x = 538,266.17
  5. Step 5: Solve for x
    x = 538,266.17/725.13
  6. Step 6: Final answer
    x = 742.30

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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.