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Finding the Fourth Proportional to 1,076.85, 1,614.23 and 460.71

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Solution

The fourth proportional to 1,076.85, 1,614.23 and 460.71 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.85 : 1,614.23 = 460.71 : x
  2. Step 2: Convert to fraction form
    1,076.85/1,614.23 = 460.71/x
  3. Step 3: Cross multiply
    1,076.85x = 1,614.23 × 460.71
  4. Step 4: Simplify right side
    1,076.85x = 743,691.33
  5. Step 5: Solve for x
    x = 743,691.33/1,076.85
  6. Step 6: Final answer
    x = 690.62

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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.