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Finding the Fourth Proportional to 767.64, 1,151.82 and 280.92

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Solution

The fourth proportional to 767.64, 1,151.82 and 280.92 is: 421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.64 : 1,151.82 = 280.92 : x
  2. Step 2: Convert to fraction form
    767.64/1,151.82 = 280.92/x
  3. Step 3: Cross multiply
    767.64x = 1,151.82 × 280.92
  4. Step 4: Simplify right side
    767.64x = 323,569.27
  5. Step 5: Solve for x
    x = 323,569.27/767.64
  6. Step 6: Final answer
    x = 421.51

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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.