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Finding the Fourth Proportional to 1,126.52, 1,685.67 and 664.52

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Solution

The fourth proportional to 1,126.52, 1,685.67 and 664.52 is: 994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.52 : 1,685.67 = 664.52 : x
  2. Step 2: Convert to fraction form
    1,126.52/1,685.67 = 664.52/x
  3. Step 3: Cross multiply
    1,126.52x = 1,685.67 × 664.52
  4. Step 4: Simplify right side
    1,126.52x = 1,120,161.43
  5. Step 5: Solve for x
    x = 1,120,161.43/1,126.52
  6. Step 6: Final answer
    x = 994.36

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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.