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Finding the Fourth Proportional to 803.22, 1,202.90 and 687

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Solution

The fourth proportional to 803.22, 1,202.90 and 687 is: 1,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.22 : 1,202.90 = 687 : x
  2. Step 2: Convert to fraction form
    803.22/1,202.90 = 687/x
  3. Step 3: Cross multiply
    803.22x = 1,202.90 × 687
  4. Step 4: Simplify right side
    803.22x = 826,392.30
  5. Step 5: Solve for x
    x = 826,392.30/803.22
  6. Step 6: Final answer
    x = 1,028.85

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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.