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Finding the Fourth Proportional to 1,221.68, 1,832.81 and 400.02

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Solution

The fourth proportional to 1,221.68, 1,832.81 and 400.02 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.68 : 1,832.81 = 400.02 : x
  2. Step 2: Convert to fraction form
    1,221.68/1,832.81 = 400.02/x
  3. Step 3: Cross multiply
    1,221.68x = 1,832.81 × 400.02
  4. Step 4: Simplify right side
    1,221.68x = 733,158.66
  5. Step 5: Solve for x
    x = 733,158.66/1,221.68
  6. Step 6: Final answer
    x = 600.13

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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.