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Finding the Fourth Proportional to 1,247.90, 1,721.33 and 799.62

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Solution

The fourth proportional to 1,247.90, 1,721.33 and 799.62 is: 1,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.90 : 1,721.33 = 799.62 : x
  2. Step 2: Convert to fraction form
    1,247.90/1,721.33 = 799.62/x
  3. Step 3: Cross multiply
    1,247.90x = 1,721.33 × 799.62
  4. Step 4: Simplify right side
    1,247.90x = 1,376,405.73
  5. Step 5: Solve for x
    x = 1,376,405.73/1,247.90
  6. Step 6: Final answer
    x = 1,102.98

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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.