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Finding the Fourth Proportional to 1,132.92, 1,700.80 and 1,127.66

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Solution

The fourth proportional to 1,132.92, 1,700.80 and 1,127.66 is: 1,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.92 : 1,700.80 = 1,127.66 : x
  2. Step 2: Convert to fraction form
    1,132.92/1,700.80 = 1,127.66/x
  3. Step 3: Cross multiply
    1,132.92x = 1,700.80 × 1,127.66
  4. Step 4: Simplify right side
    1,132.92x = 1,917,912.80
  5. Step 5: Solve for x
    x = 1,917,912.80/1,132.92
  6. Step 6: Final answer
    x = 1,692.89

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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.