Home / 1,199.40-1,799.46-469.14

Finding the Fourth Proportional to 1,199.40, 1,799.46 and 469.14

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Solution

The fourth proportional to 1,199.40, 1,799.46 and 469.14 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,799.46 = 469.14 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,799.46 = 469.14/x
  3. Step 3: Cross multiply
    1,199.40x = 1,799.46 × 469.14
  4. Step 4: Simplify right side
    1,199.40x = 844,198.66
  5. Step 5: Solve for x
    x = 844,198.66/1,199.40
  6. Step 6: Final answer
    x = 703.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.