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Finding the Fourth Proportional to 765.90, 1,148.96 and 278.83

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Solution

The fourth proportional to 765.90, 1,148.96 and 278.83 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.90 : 1,148.96 = 278.83 : x
  2. Step 2: Convert to fraction form
    765.90/1,148.96 = 278.83/x
  3. Step 3: Cross multiply
    765.90x = 1,148.96 × 278.83
  4. Step 4: Simplify right side
    765.90x = 320,364.52
  5. Step 5: Solve for x
    x = 320,364.52/765.90
  6. Step 6: Final answer
    x = 418.29

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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.