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Finding the Fourth Proportional to 1,123.10, 1,550.34 and 820.73

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Solution

The fourth proportional to 1,123.10, 1,550.34 and 820.73 is: 1,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.10 : 1,550.34 = 820.73 : x
  2. Step 2: Convert to fraction form
    1,123.10/1,550.34 = 820.73/x
  3. Step 3: Cross multiply
    1,123.10x = 1,550.34 × 820.73
  4. Step 4: Simplify right side
    1,123.10x = 1,272,414.42
  5. Step 5: Solve for x
    x = 1,272,414.42/1,123.10
  6. Step 6: Final answer
    x = 1,132.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.