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Finding the Fourth Proportional to 1,463.84, 2,194.56 and 585.97

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Solution

The fourth proportional to 1,463.84, 2,194.56 and 585.97 is: 878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.84 : 2,194.56 = 585.97 : x
  2. Step 2: Convert to fraction form
    1,463.84/2,194.56 = 585.97/x
  3. Step 3: Cross multiply
    1,463.84x = 2,194.56 × 585.97
  4. Step 4: Simplify right side
    1,463.84x = 1,285,940.84
  5. Step 5: Solve for x
    x = 1,285,940.84/1,463.84
  6. Step 6: Final answer
    x = 878.47

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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.