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Finding the Fourth Proportional to 1,104.60, 1,524.66 and 773.12

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Solution

The fourth proportional to 1,104.60, 1,524.66 and 773.12 is: 1,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.60 : 1,524.66 = 773.12 : x
  2. Step 2: Convert to fraction form
    1,104.60/1,524.66 = 773.12/x
  3. Step 3: Cross multiply
    1,104.60x = 1,524.66 × 773.12
  4. Step 4: Simplify right side
    1,104.60x = 1,178,737.52
  5. Step 5: Solve for x
    x = 1,178,737.52/1,104.60
  6. Step 6: Final answer
    x = 1,067.12

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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.