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Finding the Fourth Proportional to 844.44, 1,166.04 and 564.72

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Solution

The fourth proportional to 844.44, 1,166.04 and 564.72 is: 779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.44 : 1,166.04 = 564.72 : x
  2. Step 2: Convert to fraction form
    844.44/1,166.04 = 564.72/x
  3. Step 3: Cross multiply
    844.44x = 1,166.04 × 564.72
  4. Step 4: Simplify right side
    844.44x = 658,486.11
  5. Step 5: Solve for x
    x = 658,486.11/844.44
  6. Step 6: Final answer
    x = 779.79

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Why These Related Problems?

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