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Finding the Fourth Proportional to 1,230.27, 1,706.20 and 1,126.47

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Solution

The fourth proportional to 1,230.27, 1,706.20 and 1,126.47 is: 1,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.27 : 1,706.20 = 1,126.47 : x
  2. Step 2: Convert to fraction form
    1,230.27/1,706.20 = 1,126.47/x
  3. Step 3: Cross multiply
    1,230.27x = 1,706.20 × 1,126.47
  4. Step 4: Simplify right side
    1,230.27x = 1,921,983.11
  5. Step 5: Solve for x
    x = 1,921,983.11/1,230.27
  6. Step 6: Final answer
    x = 1,562.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.