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Finding the Fourth Proportional to 912.26, 1,257.59 and 725.83

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Solution

The fourth proportional to 912.26, 1,257.59 and 725.83 is: 1,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.26 : 1,257.59 = 725.83 : x
  2. Step 2: Convert to fraction form
    912.26/1,257.59 = 725.83/x
  3. Step 3: Cross multiply
    912.26x = 1,257.59 × 725.83
  4. Step 4: Simplify right side
    912.26x = 912,796.55
  5. Step 5: Solve for x
    x = 912,796.55/912.26
  6. Step 6: Final answer
    x = 1,000.59

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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.