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Finding the Fourth Proportional to 1,463.39, 2,194.75 and 423.16

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Solution

The fourth proportional to 1,463.39, 2,194.75 and 423.16 is: 634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.39 : 2,194.75 = 423.16 : x
  2. Step 2: Convert to fraction form
    1,463.39/2,194.75 = 423.16/x
  3. Step 3: Cross multiply
    1,463.39x = 2,194.75 × 423.16
  4. Step 4: Simplify right side
    1,463.39x = 928,731.47
  5. Step 5: Solve for x
    x = 928,731.47/1,463.39
  6. Step 6: Final answer
    x = 634.65

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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.