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Finding the Fourth Proportional to 742.60, 1,023.78 and 625.96

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Solution

The fourth proportional to 742.60, 1,023.78 and 625.96 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.60 : 1,023.78 = 625.96 : x
  2. Step 2: Convert to fraction form
    742.60/1,023.78 = 625.96/x
  3. Step 3: Cross multiply
    742.60x = 1,023.78 × 625.96
  4. Step 4: Simplify right side
    742.60x = 640,845.33
  5. Step 5: Solve for x
    x = 640,845.33/742.60
  6. Step 6: Final answer
    x = 862.98

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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.