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Finding the Fourth Proportional to 1,221.42, 1,832.09 and 355.71

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Solution

The fourth proportional to 1,221.42, 1,832.09 and 355.71 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.42 : 1,832.09 = 355.71 : x
  2. Step 2: Convert to fraction form
    1,221.42/1,832.09 = 355.71/x
  3. Step 3: Cross multiply
    1,221.42x = 1,832.09 × 355.71
  4. Step 4: Simplify right side
    1,221.42x = 651,690.96
  5. Step 5: Solve for x
    x = 651,690.96/1,221.42
  6. Step 6: Final answer
    x = 533.55

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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.