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Finding the Fourth Proportional to 1,221.76, 1,687.40 and 828.10

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Solution

The fourth proportional to 1,221.76, 1,687.40 and 828.10 is: 1,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.76 : 1,687.40 = 828.10 : x
  2. Step 2: Convert to fraction form
    1,221.76/1,687.40 = 828.10/x
  3. Step 3: Cross multiply
    1,221.76x = 1,687.40 × 828.10
  4. Step 4: Simplify right side
    1,221.76x = 1,397,335.94
  5. Step 5: Solve for x
    x = 1,397,335.94/1,221.76
  6. Step 6: Final answer
    x = 1,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.