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Finding the Fourth Proportional to 732.18, 1,089.91 and 721.25

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Solution

The fourth proportional to 732.18, 1,089.91 and 721.25 is: 1,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.18 : 1,089.91 = 721.25 : x
  2. Step 2: Convert to fraction form
    732.18/1,089.91 = 721.25/x
  3. Step 3: Cross multiply
    732.18x = 1,089.91 × 721.25
  4. Step 4: Simplify right side
    732.18x = 786,090.33
  5. Step 5: Solve for x
    x = 786,090.33/732.18
  6. Step 6: Final answer
    x = 1,073.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.