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Finding the Fourth Proportional to 1,285.53, 1,774.03 and 725.97

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Solution

The fourth proportional to 1,285.53, 1,774.03 and 725.97 is: 1,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.53 : 1,774.03 = 725.97 : x
  2. Step 2: Convert to fraction form
    1,285.53/1,774.03 = 725.97/x
  3. Step 3: Cross multiply
    1,285.53x = 1,774.03 × 725.97
  4. Step 4: Simplify right side
    1,285.53x = 1,287,900.12
  5. Step 5: Solve for x
    x = 1,287,900.12/1,285.53
  6. Step 6: Final answer
    x = 1,001.84

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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.