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Finding the Fourth Proportional to 766.45, 1,148.67 and 279.04

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Solution

The fourth proportional to 766.45, 1,148.67 and 279.04 is: 418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.45 : 1,148.67 = 279.04 : x
  2. Step 2: Convert to fraction form
    766.45/1,148.67 = 279.04/x
  3. Step 3: Cross multiply
    766.45x = 1,148.67 × 279.04
  4. Step 4: Simplify right side
    766.45x = 320,517.74
  5. Step 5: Solve for x
    x = 320,517.74/766.45
  6. Step 6: Final answer
    x = 418.18

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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.