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Finding the Fourth Proportional to 916.26, 1,374.40 and 732.80

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Solution

The fourth proportional to 916.26, 1,374.40 and 732.80 is: 1,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.26 : 1,374.40 = 732.80 : x
  2. Step 2: Convert to fraction form
    916.26/1,374.40 = 732.80/x
  3. Step 3: Cross multiply
    916.26x = 1,374.40 × 732.80
  4. Step 4: Simplify right side
    916.26x = 1,007,160.32
  5. Step 5: Solve for x
    x = 1,007,160.32/916.26
  6. Step 6: Final answer
    x = 1,099.21

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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.