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Finding the Fourth Proportional to 732.31, 1,099.46 and 699.23

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Solution

The fourth proportional to 732.31, 1,099.46 and 699.23 is: 1,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.31 : 1,099.46 = 699.23 : x
  2. Step 2: Convert to fraction form
    732.31/1,099.46 = 699.23/x
  3. Step 3: Cross multiply
    732.31x = 1,099.46 × 699.23
  4. Step 4: Simplify right side
    732.31x = 768,779.91
  5. Step 5: Solve for x
    x = 768,779.91/732.31
  6. Step 6: Final answer
    x = 1,049.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.