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Finding the Fourth Proportional to 1,104.74, 1,657.17 and 455.25

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Solution

The fourth proportional to 1,104.74, 1,657.17 and 455.25 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.74 : 1,657.17 = 455.25 : x
  2. Step 2: Convert to fraction form
    1,104.74/1,657.17 = 455.25/x
  3. Step 3: Cross multiply
    1,104.74x = 1,657.17 × 455.25
  4. Step 4: Simplify right side
    1,104.74x = 754,426.64
  5. Step 5: Solve for x
    x = 754,426.64/1,104.74
  6. Step 6: Final answer
    x = 682.90

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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.