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Finding the Fourth Proportional to 805.96, 1,203.11 and 689.68

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Solution

The fourth proportional to 805.96, 1,203.11 and 689.68 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.96 : 1,203.11 = 689.68 : x
  2. Step 2: Convert to fraction form
    805.96/1,203.11 = 689.68/x
  3. Step 3: Cross multiply
    805.96x = 1,203.11 × 689.68
  4. Step 4: Simplify right side
    805.96x = 829,760.90
  5. Step 5: Solve for x
    x = 829,760.90/805.96
  6. Step 6: Final answer
    x = 1,029.53

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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.