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Finding the Fourth Proportional to 1,199.78, 1,799.21 and 469.19

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Solution

The fourth proportional to 1,199.78, 1,799.21 and 469.19 is: 703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.78 : 1,799.21 = 469.19 : x
  2. Step 2: Convert to fraction form
    1,199.78/1,799.21 = 469.19/x
  3. Step 3: Cross multiply
    1,199.78x = 1,799.21 × 469.19
  4. Step 4: Simplify right side
    1,199.78x = 844,160.00
  5. Step 5: Solve for x
    x = 844,160.00/1,199.78
  6. Step 6: Final answer
    x = 703.60

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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.