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Finding the Fourth Proportional to 844.54, 1,165.66 and 512.90

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Solution

The fourth proportional to 844.54, 1,165.66 and 512.90 is: 707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.54 : 1,165.66 = 512.90 : x
  2. Step 2: Convert to fraction form
    844.54/1,165.66 = 512.90/x
  3. Step 3: Cross multiply
    844.54x = 1,165.66 × 512.90
  4. Step 4: Simplify right side
    844.54x = 597,858.62
  5. Step 5: Solve for x
    x = 597,858.62/844.54
  6. Step 6: Final answer
    x = 707.91

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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.