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Finding the Fourth Proportional to 766.02, 1,149.32 and 279.11

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Solution

The fourth proportional to 766.02, 1,149.32 and 279.11 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.02 : 1,149.32 = 279.11 : x
  2. Step 2: Convert to fraction form
    766.02/1,149.32 = 279.11/x
  3. Step 3: Cross multiply
    766.02x = 1,149.32 × 279.11
  4. Step 4: Simplify right side
    766.02x = 320,779.56
  5. Step 5: Solve for x
    x = 320,779.56/766.02
  6. Step 6: Final answer
    x = 418.76

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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.