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Finding the Fourth Proportional to 844.12, 1,166.01 and 678.95

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Solution

The fourth proportional to 844.12, 1,166.01 and 678.95 is: 937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.12 : 1,166.01 = 678.95 : x
  2. Step 2: Convert to fraction form
    844.12/1,166.01 = 678.95/x
  3. Step 3: Cross multiply
    844.12x = 1,166.01 × 678.95
  4. Step 4: Simplify right side
    844.12x = 791,662.86
  5. Step 5: Solve for x
    x = 791,662.86/844.12
  6. Step 6: Final answer
    x = 937.86

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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.