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Finding the Fourth Proportional to 844.80, 1,166.40 and 623.76

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Solution

The fourth proportional to 844.80, 1,166.40 and 623.76 is: 861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,166.40 = 623.76 : x
  2. Step 2: Convert to fraction form
    844.80/1,166.40 = 623.76/x
  3. Step 3: Cross multiply
    844.80x = 1,166.40 × 623.76
  4. Step 4: Simplify right side
    844.80x = 727,553.66
  5. Step 5: Solve for x
    x = 727,553.66/844.80
  6. Step 6: Final answer
    x = 861.21

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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.