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Finding the Fourth Proportional to 1,199.90, 1,799.71 and 378.16

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Solution

The fourth proportional to 1,199.90, 1,799.71 and 378.16 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.90 : 1,799.71 = 378.16 : x
  2. Step 2: Convert to fraction form
    1,199.90/1,799.71 = 378.16/x
  3. Step 3: Cross multiply
    1,199.90x = 1,799.71 × 378.16
  4. Step 4: Simplify right side
    1,199.90x = 680,572.89
  5. Step 5: Solve for x
    x = 680,572.89/1,199.90
  6. Step 6: Final answer
    x = 567.19

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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.