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Finding the Fourth Proportional to 1,095.53, 1,641.33 and 748.31

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Solution

The fourth proportional to 1,095.53, 1,641.33 and 748.31 is: 1,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.53 : 1,641.33 = 748.31 : x
  2. Step 2: Convert to fraction form
    1,095.53/1,641.33 = 748.31/x
  3. Step 3: Cross multiply
    1,095.53x = 1,641.33 × 748.31
  4. Step 4: Simplify right side
    1,095.53x = 1,228,215.45
  5. Step 5: Solve for x
    x = 1,228,215.45/1,095.53
  6. Step 6: Final answer
    x = 1,121.12

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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.