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Finding the Fourth Proportional to 1,083.10, 1,491.24 and 916.96

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Solution

The fourth proportional to 1,083.10, 1,491.24 and 916.96 is: 1,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.10 : 1,491.24 = 916.96 : x
  2. Step 2: Convert to fraction form
    1,083.10/1,491.24 = 916.96/x
  3. Step 3: Cross multiply
    1,083.10x = 1,491.24 × 916.96
  4. Step 4: Simplify right side
    1,083.10x = 1,367,407.43
  5. Step 5: Solve for x
    x = 1,367,407.43/1,083.10
  6. Step 6: Final answer
    x = 1,262.49

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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.