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Finding the Fourth Proportional to 1,077.44, 1,614.92 and 460.22

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Solution

The fourth proportional to 1,077.44, 1,614.92 and 460.22 is: 689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.44 : 1,614.92 = 460.22 : x
  2. Step 2: Convert to fraction form
    1,077.44/1,614.92 = 460.22/x
  3. Step 3: Cross multiply
    1,077.44x = 1,614.92 × 460.22
  4. Step 4: Simplify right side
    1,077.44x = 743,208.11
  5. Step 5: Solve for x
    x = 743,208.11/1,077.44
  6. Step 6: Final answer
    x = 689.79

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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.