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Finding the Fourth Proportional to 768.25, 1,153.13 and 562.20

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Solution

The fourth proportional to 768.25, 1,153.13 and 562.20 is: 843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.25 : 1,153.13 = 562.20 : x
  2. Step 2: Convert to fraction form
    768.25/1,153.13 = 562.20/x
  3. Step 3: Cross multiply
    768.25x = 1,153.13 × 562.20
  4. Step 4: Simplify right side
    768.25x = 648,289.69
  5. Step 5: Solve for x
    x = 648,289.69/768.25
  6. Step 6: Final answer
    x = 843.85

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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.