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Finding the Fourth Proportional to 1,174.46, 1,753.27 and 1,092.45

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Solution

The fourth proportional to 1,174.46, 1,753.27 and 1,092.45 is: 1,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.46 : 1,753.27 = 1,092.45 : x
  2. Step 2: Convert to fraction form
    1,174.46/1,753.27 = 1,092.45/x
  3. Step 3: Cross multiply
    1,174.46x = 1,753.27 × 1,092.45
  4. Step 4: Simplify right side
    1,174.46x = 1,915,359.81
  5. Step 5: Solve for x
    x = 1,915,359.81/1,174.46
  6. Step 6: Final answer
    x = 1,630.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.