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Finding the Fourth Proportional to 773.82, 1,061.33 and 686.34

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Solution

The fourth proportional to 773.82, 1,061.33 and 686.34 is: 941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.82 : 1,061.33 = 686.34 : x
  2. Step 2: Convert to fraction form
    773.82/1,061.33 = 686.34/x
  3. Step 3: Cross multiply
    773.82x = 1,061.33 × 686.34
  4. Step 4: Simplify right side
    773.82x = 728,429.80
  5. Step 5: Solve for x
    x = 728,429.80/773.82
  6. Step 6: Final answer
    x = 941.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.