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Finding the Fourth Proportional to 749.66, 1,033.97 and 563.15

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Solution

The fourth proportional to 749.66, 1,033.97 and 563.15 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.66 : 1,033.97 = 563.15 : x
  2. Step 2: Convert to fraction form
    749.66/1,033.97 = 563.15/x
  3. Step 3: Cross multiply
    749.66x = 1,033.97 × 563.15
  4. Step 4: Simplify right side
    749.66x = 582,279.97
  5. Step 5: Solve for x
    x = 582,279.97/749.66
  6. Step 6: Final answer
    x = 776.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.