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Finding the Fourth Proportional to 1,199.86, 1,799.98 and 469.38

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Solution

The fourth proportional to 1,199.86, 1,799.98 and 469.38 is: 704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.86 : 1,799.98 = 469.38 : x
  2. Step 2: Convert to fraction form
    1,199.86/1,799.98 = 469.38/x
  3. Step 3: Cross multiply
    1,199.86x = 1,799.98 × 469.38
  4. Step 4: Simplify right side
    1,199.86x = 844,874.61
  5. Step 5: Solve for x
    x = 844,874.61/1,199.86
  6. Step 6: Final answer
    x = 704.14

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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.