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Finding the Fourth Proportional to 1,104.46, 1,654.34 and 756.16

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Solution

The fourth proportional to 1,104.46, 1,654.34 and 756.16 is: 1,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.46 : 1,654.34 = 756.16 : x
  2. Step 2: Convert to fraction form
    1,104.46/1,654.34 = 756.16/x
  3. Step 3: Cross multiply
    1,104.46x = 1,654.34 × 756.16
  4. Step 4: Simplify right side
    1,104.46x = 1,250,945.73
  5. Step 5: Solve for x
    x = 1,250,945.73/1,104.46
  6. Step 6: Final answer
    x = 1,132.63

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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.