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Finding the Fourth Proportional to 778.17, 1,166.04 and 489

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Solution

The fourth proportional to 778.17, 1,166.04 and 489 is: 732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.17 : 1,166.04 = 489 : x
  2. Step 2: Convert to fraction form
    778.17/1,166.04 = 489/x
  3. Step 3: Cross multiply
    778.17x = 1,166.04 × 489
  4. Step 4: Simplify right side
    778.17x = 570,193.56
  5. Step 5: Solve for x
    x = 570,193.56/778.17
  6. Step 6: Final answer
    x = 732.74

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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.