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Finding the Fourth Proportional to 742.85, 1,024.52 and 477.34

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Solution

The fourth proportional to 742.85, 1,024.52 and 477.34 is: 658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.85 : 1,024.52 = 477.34 : x
  2. Step 2: Convert to fraction form
    742.85/1,024.52 = 477.34/x
  3. Step 3: Cross multiply
    742.85x = 1,024.52 × 477.34
  4. Step 4: Simplify right side
    742.85x = 489,040.58
  5. Step 5: Solve for x
    x = 489,040.58/742.85
  6. Step 6: Final answer
    x = 658.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.