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Finding the Fourth Proportional to 892.57, 1,340.90 and 747.00

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Solution

The fourth proportional to 892.57, 1,340.90 and 747.00 is: 1,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.57 : 1,340.90 = 747.00 : x
  2. Step 2: Convert to fraction form
    892.57/1,340.90 = 747.00/x
  3. Step 3: Cross multiply
    892.57x = 1,340.90 × 747.00
  4. Step 4: Simplify right side
    892.57x = 1,001,651.80
  5. Step 5: Solve for x
    x = 1,001,651.80/892.57
  6. Step 6: Final answer
    x = 1,122.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.