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Finding the Fourth Proportional to 1,285.27, 1,773.64 and 725.76

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Solution

The fourth proportional to 1,285.27, 1,773.64 and 725.76 is: 1,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.27 : 1,773.64 = 725.76 : x
  2. Step 2: Convert to fraction form
    1,285.27/1,773.64 = 725.76/x
  3. Step 3: Cross multiply
    1,285.27x = 1,773.64 × 725.76
  4. Step 4: Simplify right side
    1,285.27x = 1,287,237.87
  5. Step 5: Solve for x
    x = 1,287,237.87/1,285.27
  6. Step 6: Final answer
    x = 1,001.53

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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.