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Finding the Fourth Proportional to 1,199.71, 1,799.82 and 366.72

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Solution

The fourth proportional to 1,199.71, 1,799.82 and 366.72 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.71 : 1,799.82 = 366.72 : x
  2. Step 2: Convert to fraction form
    1,199.71/1,799.82 = 366.72/x
  3. Step 3: Cross multiply
    1,199.71x = 1,799.82 × 366.72
  4. Step 4: Simplify right side
    1,199.71x = 660,029.99
  5. Step 5: Solve for x
    x = 660,029.99/1,199.71
  6. Step 6: Final answer
    x = 550.16

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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.