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Finding the Fourth Proportional to 1,100.00, 1,517.92 and 645.90

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Solution

The fourth proportional to 1,100.00, 1,517.92 and 645.90 is: 891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.00 : 1,517.92 = 645.90 : x
  2. Step 2: Convert to fraction form
    1,100.00/1,517.92 = 645.90/x
  3. Step 3: Cross multiply
    1,100.00x = 1,517.92 × 645.90
  4. Step 4: Simplify right side
    1,100.00x = 980,422.91
  5. Step 5: Solve for x
    x = 980,422.91/1,100.00
  6. Step 6: Final answer
    x = 891.30

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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.