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Finding the Fourth Proportional to 766.98, 1,149.84 and 442.62

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Solution

The fourth proportional to 766.98, 1,149.84 and 442.62 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.98 : 1,149.84 = 442.62 : x
  2. Step 2: Convert to fraction form
    766.98/1,149.84 = 442.62/x
  3. Step 3: Cross multiply
    766.98x = 1,149.84 × 442.62
  4. Step 4: Simplify right side
    766.98x = 508,942.18
  5. Step 5: Solve for x
    x = 508,942.18/766.98
  6. Step 6: Final answer
    x = 663.57

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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.