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Finding the Fourth Proportional to 767.57, 1,151.64 and 280.95

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Solution

The fourth proportional to 767.57, 1,151.64 and 280.95 is: 421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.57 : 1,151.64 = 280.95 : x
  2. Step 2: Convert to fraction form
    767.57/1,151.64 = 280.95/x
  3. Step 3: Cross multiply
    767.57x = 1,151.64 × 280.95
  4. Step 4: Simplify right side
    767.57x = 323,553.26
  5. Step 5: Solve for x
    x = 323,553.26/767.57
  6. Step 6: Final answer
    x = 421.53

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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.