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Finding the Fourth Proportional to 1,463.90, 2,194.62 and 585.86

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Solution

The fourth proportional to 1,463.90, 2,194.62 and 585.86 is: 878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.90 : 2,194.62 = 585.86 : x
  2. Step 2: Convert to fraction form
    1,463.90/2,194.62 = 585.86/x
  3. Step 3: Cross multiply
    1,463.90x = 2,194.62 × 585.86
  4. Step 4: Simplify right side
    1,463.90x = 1,285,729.10
  5. Step 5: Solve for x
    x = 1,285,729.10/1,463.90
  6. Step 6: Final answer
    x = 878.29

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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.