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Finding the Fourth Proportional to 742.60, 1,025.26 and 477.15

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Solution

The fourth proportional to 742.60, 1,025.26 and 477.15 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.60 : 1,025.26 = 477.15 : x
  2. Step 2: Convert to fraction form
    742.60/1,025.26 = 477.15/x
  3. Step 3: Cross multiply
    742.60x = 1,025.26 × 477.15
  4. Step 4: Simplify right side
    742.60x = 489,202.81
  5. Step 5: Solve for x
    x = 489,202.81/742.60
  6. Step 6: Final answer
    x = 658.77

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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.