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Finding the Fourth Proportional to 1,367.67, 2,049.54 and 587.45

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Solution

The fourth proportional to 1,367.67, 2,049.54 and 587.45 is: 880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.67 : 2,049.54 = 587.45 : x
  2. Step 2: Convert to fraction form
    1,367.67/2,049.54 = 587.45/x
  3. Step 3: Cross multiply
    1,367.67x = 2,049.54 × 587.45
  4. Step 4: Simplify right side
    1,367.67x = 1,204,005.19
  5. Step 5: Solve for x
    x = 1,204,005.19/1,367.67
  6. Step 6: Final answer
    x = 880.33

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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.