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Finding the Fourth Proportional to 767.17, 1,149.81 and 562.60

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Solution

The fourth proportional to 767.17, 1,149.81 and 562.60 is: 843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.17 : 1,149.81 = 562.60 : x
  2. Step 2: Convert to fraction form
    767.17/1,149.81 = 562.60/x
  3. Step 3: Cross multiply
    767.17x = 1,149.81 × 562.60
  4. Step 4: Simplify right side
    767.17x = 646,883.11
  5. Step 5: Solve for x
    x = 646,883.11/767.17
  6. Step 6: Final answer
    x = 843.21

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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.