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Finding the Fourth Proportional to 1,121.55, 1,682.82 and 391.65

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Solution

The fourth proportional to 1,121.55, 1,682.82 and 391.65 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.55 : 1,682.82 = 391.65 : x
  2. Step 2: Convert to fraction form
    1,121.55/1,682.82 = 391.65/x
  3. Step 3: Cross multiply
    1,121.55x = 1,682.82 × 391.65
  4. Step 4: Simplify right side
    1,121.55x = 659,076.45
  5. Step 5: Solve for x
    x = 659,076.45/1,121.55
  6. Step 6: Final answer
    x = 587.65

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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.