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Finding the Fourth Proportional to 844.68, 1,165.46 and 534.04

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Solution

The fourth proportional to 844.68, 1,165.46 and 534.04 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.68 : 1,165.46 = 534.04 : x
  2. Step 2: Convert to fraction form
    844.68/1,165.46 = 534.04/x
  3. Step 3: Cross multiply
    844.68x = 1,165.46 × 534.04
  4. Step 4: Simplify right side
    844.68x = 622,402.26
  5. Step 5: Solve for x
    x = 622,402.26/844.68
  6. Step 6: Final answer
    x = 736.85

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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.