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Finding the Fourth Proportional to 844.52, 1,165.64 and 533.96

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Solution

The fourth proportional to 844.52, 1,165.64 and 533.96 is: 736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.52 : 1,165.64 = 533.96 : x
  2. Step 2: Convert to fraction form
    844.52/1,165.64 = 533.96/x
  3. Step 3: Cross multiply
    844.52x = 1,165.64 × 533.96
  4. Step 4: Simplify right side
    844.52x = 622,405.13
  5. Step 5: Solve for x
    x = 622,405.13/844.52
  6. Step 6: Final answer
    x = 736.99

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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.