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Finding the Fourth Proportional to 844.28, 1,164.92 and 508.29

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Solution

The fourth proportional to 844.28, 1,164.92 and 508.29 is: 701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.28 : 1,164.92 = 508.29 : x
  2. Step 2: Convert to fraction form
    844.28/1,164.92 = 508.29/x
  3. Step 3: Cross multiply
    844.28x = 1,164.92 × 508.29
  4. Step 4: Simplify right side
    844.28x = 592,114.65
  5. Step 5: Solve for x
    x = 592,114.65/844.28
  6. Step 6: Final answer
    x = 701.33

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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.