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Finding the Fourth Proportional to 844.26, 1,165.02 and 512.58

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Solution

The fourth proportional to 844.26, 1,165.02 and 512.58 is: 707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.26 : 1,165.02 = 512.58 : x
  2. Step 2: Convert to fraction form
    844.26/1,165.02 = 512.58/x
  3. Step 3: Cross multiply
    844.26x = 1,165.02 × 512.58
  4. Step 4: Simplify right side
    844.26x = 597,165.95
  5. Step 5: Solve for x
    x = 597,165.95/844.26
  6. Step 6: Final answer
    x = 707.32

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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.