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Finding the Fourth Proportional to 1,088.69, 1,631.07 and 916.43

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Solution

The fourth proportional to 1,088.69, 1,631.07 and 916.43 is: 1,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.69 : 1,631.07 = 916.43 : x
  2. Step 2: Convert to fraction form
    1,088.69/1,631.07 = 916.43/x
  3. Step 3: Cross multiply
    1,088.69x = 1,631.07 × 916.43
  4. Step 4: Simplify right side
    1,088.69x = 1,494,753.32
  5. Step 5: Solve for x
    x = 1,494,753.32/1,088.69
  6. Step 6: Final answer
    x = 1,372.99

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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.