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Finding the Fourth Proportional to 765.96, 1,148.72 and 278.92

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Solution

The fourth proportional to 765.96, 1,148.72 and 278.92 is: 418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,148.72 = 278.92 : x
  2. Step 2: Convert to fraction form
    765.96/1,148.72 = 278.92/x
  3. Step 3: Cross multiply
    765.96x = 1,148.72 × 278.92
  4. Step 4: Simplify right side
    765.96x = 320,400.98
  5. Step 5: Solve for x
    x = 320,400.98/765.96
  6. Step 6: Final answer
    x = 418.30

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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.