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Finding the Fourth Proportional to 844.01, 1,164.78 and 595.41

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Solution

The fourth proportional to 844.01, 1,164.78 and 595.41 is: 821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.01 : 1,164.78 = 595.41 : x
  2. Step 2: Convert to fraction form
    844.01/1,164.78 = 595.41/x
  3. Step 3: Cross multiply
    844.01x = 1,164.78 × 595.41
  4. Step 4: Simplify right side
    844.01x = 693,521.66
  5. Step 5: Solve for x
    x = 693,521.66/844.01
  6. Step 6: Final answer
    x = 821.70

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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.