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Finding the Fourth Proportional to 1,247.12, 1,721.03 and 854.27

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Solution

The fourth proportional to 1,247.12, 1,721.03 and 854.27 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.12 : 1,721.03 = 854.27 : x
  2. Step 2: Convert to fraction form
    1,247.12/1,721.03 = 854.27/x
  3. Step 3: Cross multiply
    1,247.12x = 1,721.03 × 854.27
  4. Step 4: Simplify right side
    1,247.12x = 1,470,211.42
  5. Step 5: Solve for x
    x = 1,470,211.42/1,247.12
  6. Step 6: Final answer
    x = 1,178.89

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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.