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Finding the Fourth Proportional to 1,107.10, 1,663.85 and 966.30

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Solution

The fourth proportional to 1,107.10, 1,663.85 and 966.30 is: 1,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.10 : 1,663.85 = 966.30 : x
  2. Step 2: Convert to fraction form
    1,107.10/1,663.85 = 966.30/x
  3. Step 3: Cross multiply
    1,107.10x = 1,663.85 × 966.30
  4. Step 4: Simplify right side
    1,107.10x = 1,607,778.26
  5. Step 5: Solve for x
    x = 1,607,778.26/1,107.10
  6. Step 6: Final answer
    x = 1,452.24

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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.