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Finding the Fourth Proportional to 1,285.56, 1,773.72 and 865.92

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Solution

The fourth proportional to 1,285.56, 1,773.72 and 865.92 is: 1,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.56 : 1,773.72 = 865.92 : x
  2. Step 2: Convert to fraction form
    1,285.56/1,773.72 = 865.92/x
  3. Step 3: Cross multiply
    1,285.56x = 1,773.72 × 865.92
  4. Step 4: Simplify right side
    1,285.56x = 1,535,899.62
  5. Step 5: Solve for x
    x = 1,535,899.62/1,285.56
  6. Step 6: Final answer
    x = 1,194.73

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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.