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Finding the Fourth Proportional to 1,199.61, 1,799.69 and 867.65

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Solution

The fourth proportional to 1,199.61, 1,799.69 and 867.65 is: 1,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.61 : 1,799.69 = 867.65 : x
  2. Step 2: Convert to fraction form
    1,199.61/1,799.69 = 867.65/x
  3. Step 3: Cross multiply
    1,199.61x = 1,799.69 × 867.65
  4. Step 4: Simplify right side
    1,199.61x = 1,561,487.69
  5. Step 5: Solve for x
    x = 1,561,487.69/1,199.61
  6. Step 6: Final answer
    x = 1,301.66

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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.