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Finding the Fourth Proportional to 1,077.29, 1,614.39 and 460.83

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Solution

The fourth proportional to 1,077.29, 1,614.39 and 460.83 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.29 : 1,614.39 = 460.83 : x
  2. Step 2: Convert to fraction form
    1,077.29/1,614.39 = 460.83/x
  3. Step 3: Cross multiply
    1,077.29x = 1,614.39 × 460.83
  4. Step 4: Simplify right side
    1,077.29x = 743,959.34
  5. Step 5: Solve for x
    x = 743,959.34/1,077.29
  6. Step 6: Final answer
    x = 690.58

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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.