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Finding the Fourth Proportional to 1,006.88, 1,387.96 and 866.25

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Solution

The fourth proportional to 1,006.88, 1,387.96 and 866.25 is: 1,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.88 : 1,387.96 = 866.25 : x
  2. Step 2: Convert to fraction form
    1,006.88/1,387.96 = 866.25/x
  3. Step 3: Cross multiply
    1,006.88x = 1,387.96 × 866.25
  4. Step 4: Simplify right side
    1,006.88x = 1,202,320.35
  5. Step 5: Solve for x
    x = 1,202,320.35/1,006.88
  6. Step 6: Final answer
    x = 1,194.10

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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.