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Finding the Fourth Proportional to 1,463.21, 2,194.85 and 641.32

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Solution

The fourth proportional to 1,463.21, 2,194.85 and 641.32 is: 961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.21 : 2,194.85 = 641.32 : x
  2. Step 2: Convert to fraction form
    1,463.21/2,194.85 = 641.32/x
  3. Step 3: Cross multiply
    1,463.21x = 2,194.85 × 641.32
  4. Step 4: Simplify right side
    1,463.21x = 1,407,593.71
  5. Step 5: Solve for x
    x = 1,407,593.71/1,463.21
  6. Step 6: Final answer
    x = 961.99

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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.