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Finding the Fourth Proportional to 1,199.75, 1,799.21 and 469.13

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Solution

The fourth proportional to 1,199.75, 1,799.21 and 469.13 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.75 : 1,799.21 = 469.13 : x
  2. Step 2: Convert to fraction form
    1,199.75/1,799.21 = 469.13/x
  3. Step 3: Cross multiply
    1,199.75x = 1,799.21 × 469.13
  4. Step 4: Simplify right side
    1,199.75x = 844,055.56
  5. Step 5: Solve for x
    x = 844,055.56/1,199.75
  6. Step 6: Final answer
    x = 703.53

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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.