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Finding the Fourth Proportional to 844.14, 1,165.49 and 529.54

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Solution

The fourth proportional to 844.14, 1,165.49 and 529.54 is: 731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.14 : 1,165.49 = 529.54 : x
  2. Step 2: Convert to fraction form
    844.14/1,165.49 = 529.54/x
  3. Step 3: Cross multiply
    844.14x = 1,165.49 × 529.54
  4. Step 4: Simplify right side
    844.14x = 617,173.57
  5. Step 5: Solve for x
    x = 617,173.57/844.14
  6. Step 6: Final answer
    x = 731.13

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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.