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Finding the Fourth Proportional to 817.72, 1,221.43 and 688.12

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Solution

The fourth proportional to 817.72, 1,221.43 and 688.12 is: 1,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.72 : 1,221.43 = 688.12 : x
  2. Step 2: Convert to fraction form
    817.72/1,221.43 = 688.12/x
  3. Step 3: Cross multiply
    817.72x = 1,221.43 × 688.12
  4. Step 4: Simplify right side
    817.72x = 840,490.41
  5. Step 5: Solve for x
    x = 840,490.41/817.72
  6. Step 6: Final answer
    x = 1,027.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.