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Finding the Fourth Proportional to 1,221.78, 1,832.29 and 399.87

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Solution

The fourth proportional to 1,221.78, 1,832.29 and 399.87 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.78 : 1,832.29 = 399.87 : x
  2. Step 2: Convert to fraction form
    1,221.78/1,832.29 = 399.87/x
  3. Step 3: Cross multiply
    1,221.78x = 1,832.29 × 399.87
  4. Step 4: Simplify right side
    1,221.78x = 732,680.59
  5. Step 5: Solve for x
    x = 732,680.59/1,221.78
  6. Step 6: Final answer
    x = 599.68

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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.