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Finding the Fourth Proportional to 1,199.81, 1,799.78 and 378.15

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Solution

The fourth proportional to 1,199.81, 1,799.78 and 378.15 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.81 : 1,799.78 = 378.15 : x
  2. Step 2: Convert to fraction form
    1,199.81/1,799.78 = 378.15/x
  3. Step 3: Cross multiply
    1,199.81x = 1,799.78 × 378.15
  4. Step 4: Simplify right side
    1,199.81x = 680,579.11
  5. Step 5: Solve for x
    x = 680,579.11/1,199.81
  6. Step 6: Final answer
    x = 567.24

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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.