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Finding the Fourth Proportional to 844.07, 1,164.46 and 529.12

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Solution

The fourth proportional to 844.07, 1,164.46 and 529.12 is: 729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.07 : 1,164.46 = 529.12 : x
  2. Step 2: Convert to fraction form
    844.07/1,164.46 = 529.12/x
  3. Step 3: Cross multiply
    844.07x = 1,164.46 × 529.12
  4. Step 4: Simplify right side
    844.07x = 616,136.43
  5. Step 5: Solve for x
    x = 616,136.43/844.07
  6. Step 6: Final answer
    x = 729.96

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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.