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Finding the Fourth Proportional to 1,138.43, 1,706.02 and 650.47

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Solution

The fourth proportional to 1,138.43, 1,706.02 and 650.47 is: 974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.43 : 1,706.02 = 650.47 : x
  2. Step 2: Convert to fraction form
    1,138.43/1,706.02 = 650.47/x
  3. Step 3: Cross multiply
    1,138.43x = 1,706.02 × 650.47
  4. Step 4: Simplify right side
    1,138.43x = 1,109,714.83
  5. Step 5: Solve for x
    x = 1,109,714.83/1,138.43
  6. Step 6: Final answer
    x = 974.78

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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.