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Finding the Fourth Proportional to 1,221.39, 1,832.13 and 491.16

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Solution

The fourth proportional to 1,221.39, 1,832.13 and 491.16 is: 736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.39 : 1,832.13 = 491.16 : x
  2. Step 2: Convert to fraction form
    1,221.39/1,832.13 = 491.16/x
  3. Step 3: Cross multiply
    1,221.39x = 1,832.13 × 491.16
  4. Step 4: Simplify right side
    1,221.39x = 899,868.97
  5. Step 5: Solve for x
    x = 899,868.97/1,221.39
  6. Step 6: Final answer
    x = 736.76

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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.