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Finding the Fourth Proportional to 768.20, 1,150.29 and 562.59

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Solution

The fourth proportional to 768.20, 1,150.29 and 562.59 is: 842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.20 : 1,150.29 = 562.59 : x
  2. Step 2: Convert to fraction form
    768.20/1,150.29 = 562.59/x
  3. Step 3: Cross multiply
    768.20x = 1,150.29 × 562.59
  4. Step 4: Simplify right side
    768.20x = 647,141.65
  5. Step 5: Solve for x
    x = 647,141.65/768.20
  6. Step 6: Final answer
    x = 842.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.