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Finding the Fourth Proportional to 766.25, 1,148.46 and 279.03

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Solution

The fourth proportional to 766.25, 1,148.46 and 279.03 is: 418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.25 : 1,148.46 = 279.03 : x
  2. Step 2: Convert to fraction form
    766.25/1,148.46 = 279.03/x
  3. Step 3: Cross multiply
    766.25x = 1,148.46 × 279.03
  4. Step 4: Simplify right side
    766.25x = 320,454.79
  5. Step 5: Solve for x
    x = 320,454.79/766.25
  6. Step 6: Final answer
    x = 418.21

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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.