Home / 1,200.14-1,799.14-469.55

Finding the Fourth Proportional to 1,200.14, 1,799.14 and 469.55

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Solution

The fourth proportional to 1,200.14, 1,799.14 and 469.55 is: 703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.14 : 1,799.14 = 469.55 : x
  2. Step 2: Convert to fraction form
    1,200.14/1,799.14 = 469.55/x
  3. Step 3: Cross multiply
    1,200.14x = 1,799.14 × 469.55
  4. Step 4: Simplify right side
    1,200.14x = 844,786.19
  5. Step 5: Solve for x
    x = 844,786.19/1,200.14
  6. Step 6: Final answer
    x = 703.91

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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.