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Finding the Fourth Proportional to 767.16, 1,151.70 and 382.20

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Solution

The fourth proportional to 767.16, 1,151.70 and 382.20 is: 573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.16 : 1,151.70 = 382.20 : x
  2. Step 2: Convert to fraction form
    767.16/1,151.70 = 382.20/x
  3. Step 3: Cross multiply
    767.16x = 1,151.70 × 382.20
  4. Step 4: Simplify right side
    767.16x = 440,179.74
  5. Step 5: Solve for x
    x = 440,179.74/767.16
  6. Step 6: Final answer
    x = 573.78

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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.