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Finding the Fourth Proportional to 1,199.90, 1,799.92 and 378.20

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Solution

The fourth proportional to 1,199.90, 1,799.92 and 378.20 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.90 : 1,799.92 = 378.20 : x
  2. Step 2: Convert to fraction form
    1,199.90/1,799.92 = 378.20/x
  3. Step 3: Cross multiply
    1,199.90x = 1,799.92 × 378.20
  4. Step 4: Simplify right side
    1,199.90x = 680,729.74
  5. Step 5: Solve for x
    x = 680,729.74/1,199.90
  6. Step 6: Final answer
    x = 567.32

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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.