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Finding the Fourth Proportional to 844.17, 1,165.64 and 677.85

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Solution

The fourth proportional to 844.17, 1,165.64 and 677.85 is: 935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.17 : 1,165.64 = 677.85 : x
  2. Step 2: Convert to fraction form
    844.17/1,165.64 = 677.85/x
  3. Step 3: Cross multiply
    844.17x = 1,165.64 × 677.85
  4. Step 4: Simplify right side
    844.17x = 790,125.68
  5. Step 5: Solve for x
    x = 790,125.68/844.17
  6. Step 6: Final answer
    x = 935.98

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