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Finding the Fourth Proportional to 671.16, 1,006.47 and 489.90

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Solution

The fourth proportional to 671.16, 1,006.47 and 489.90 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.16 : 1,006.47 = 489.90 : x
  2. Step 2: Convert to fraction form
    671.16/1,006.47 = 489.90/x
  3. Step 3: Cross multiply
    671.16x = 1,006.47 × 489.90
  4. Step 4: Simplify right side
    671.16x = 493,069.65
  5. Step 5: Solve for x
    x = 493,069.65/671.16
  6. Step 6: Final answer
    x = 734.65

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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.