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Finding the Fourth Proportional to 1,351.67, 1,865.57 and 854.06

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Solution

The fourth proportional to 1,351.67, 1,865.57 and 854.06 is: 1,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.67 : 1,865.57 = 854.06 : x
  2. Step 2: Convert to fraction form
    1,351.67/1,865.57 = 854.06/x
  3. Step 3: Cross multiply
    1,351.67x = 1,865.57 × 854.06
  4. Step 4: Simplify right side
    1,351.67x = 1,593,295.12
  5. Step 5: Solve for x
    x = 1,593,295.12/1,351.67
  6. Step 6: Final answer
    x = 1,178.76

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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.