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Finding the Fourth Proportional to 1,119.79, 1,543.25 and 867.38

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Solution

The fourth proportional to 1,119.79, 1,543.25 and 867.38 is: 1,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.79 : 1,543.25 = 867.38 : x
  2. Step 2: Convert to fraction form
    1,119.79/1,543.25 = 867.38/x
  3. Step 3: Cross multiply
    1,119.79x = 1,543.25 × 867.38
  4. Step 4: Simplify right side
    1,119.79x = 1,338,578.64
  5. Step 5: Solve for x
    x = 1,338,578.64/1,119.79
  6. Step 6: Final answer
    x = 1,195.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.