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Finding the Fourth Proportional to 1,462.97, 2,194.60 and 585.27

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Solution

The fourth proportional to 1,462.97, 2,194.60 and 585.27 is: 877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.97 : 2,194.60 = 585.27 : x
  2. Step 2: Convert to fraction form
    1,462.97/2,194.60 = 585.27/x
  3. Step 3: Cross multiply
    1,462.97x = 2,194.60 × 585.27
  4. Step 4: Simplify right side
    1,462.97x = 1,284,433.54
  5. Step 5: Solve for x
    x = 1,284,433.54/1,462.97
  6. Step 6: Final answer
    x = 877.96

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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.