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Finding the Fourth Proportional to 1,463.85, 2,195.11 and 585.62

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Solution

The fourth proportional to 1,463.85, 2,195.11 and 585.62 is: 878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.85 : 2,195.11 = 585.62 : x
  2. Step 2: Convert to fraction form
    1,463.85/2,195.11 = 585.62/x
  3. Step 3: Cross multiply
    1,463.85x = 2,195.11 × 585.62
  4. Step 4: Simplify right side
    1,463.85x = 1,285,500.32
  5. Step 5: Solve for x
    x = 1,285,500.32/1,463.85
  6. Step 6: Final answer
    x = 878.16

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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.