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Finding the Fourth Proportional to 672.34, 1,006.96 and 489.28

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Solution

The fourth proportional to 672.34, 1,006.96 and 489.28 is: 732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.34 : 1,006.96 = 489.28 : x
  2. Step 2: Convert to fraction form
    672.34/1,006.96 = 489.28/x
  3. Step 3: Cross multiply
    672.34x = 1,006.96 × 489.28
  4. Step 4: Simplify right side
    672.34x = 492,685.39
  5. Step 5: Solve for x
    x = 492,685.39/672.34
  6. Step 6: Final answer
    x = 732.79

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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.