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Finding the Fourth Proportional to 1,006.47, 1,387.87 and 867.06

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Solution

The fourth proportional to 1,006.47, 1,387.87 and 867.06 is: 1,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.47 : 1,387.87 = 867.06 : x
  2. Step 2: Convert to fraction form
    1,006.47/1,387.87 = 867.06/x
  3. Step 3: Cross multiply
    1,006.47x = 1,387.87 × 867.06
  4. Step 4: Simplify right side
    1,006.47x = 1,203,366.56
  5. Step 5: Solve for x
    x = 1,203,366.56/1,006.47
  6. Step 6: Final answer
    x = 1,195.63

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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.