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Finding the Fourth Proportional to 651.78, 976.32 and 489.24

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Solution

The fourth proportional to 651.78, 976.32 and 489.24 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 976.32 = 489.24 : x
  2. Step 2: Convert to fraction form
    651.78/976.32 = 489.24/x
  3. Step 3: Cross multiply
    651.78x = 976.32 × 489.24
  4. Step 4: Simplify right side
    651.78x = 477,654.80
  5. Step 5: Solve for x
    x = 477,654.80/651.78
  6. Step 6: Final answer
    x = 732.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.