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Finding the Fourth Proportional to 1,247.18, 1,719.97 and 854.33

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Solution

The fourth proportional to 1,247.18, 1,719.97 and 854.33 is: 1,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.18 : 1,719.97 = 854.33 : x
  2. Step 2: Convert to fraction form
    1,247.18/1,719.97 = 854.33/x
  3. Step 3: Cross multiply
    1,247.18x = 1,719.97 × 854.33
  4. Step 4: Simplify right side
    1,247.18x = 1,469,411.23
  5. Step 5: Solve for x
    x = 1,469,411.23/1,247.18
  6. Step 6: Final answer
    x = 1,178.19

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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.