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Finding the Fourth Proportional to 1,221.15, 1,832.24 and 527.46

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Solution

The fourth proportional to 1,221.15, 1,832.24 and 527.46 is: 791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.15 : 1,832.24 = 527.46 : x
  2. Step 2: Convert to fraction form
    1,221.15/1,832.24 = 527.46/x
  3. Step 3: Cross multiply
    1,221.15x = 1,832.24 × 527.46
  4. Step 4: Simplify right side
    1,221.15x = 966,430.67
  5. Step 5: Solve for x
    x = 966,430.67/1,221.15
  6. Step 6: Final answer
    x = 791.41

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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.