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Finding the Fourth Proportional to 844.87, 1,166.10 and 549.62

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Solution

The fourth proportional to 844.87, 1,166.10 and 549.62 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.87 : 1,166.10 = 549.62 : x
  2. Step 2: Convert to fraction form
    844.87/1,166.10 = 549.62/x
  3. Step 3: Cross multiply
    844.87x = 1,166.10 × 549.62
  4. Step 4: Simplify right side
    844.87x = 640,911.88
  5. Step 5: Solve for x
    x = 640,911.88/844.87
  6. Step 6: Final answer
    x = 758.59

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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.