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Finding the Fourth Proportional to 816.20, 1,125.06 and 641.24

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Solution

The fourth proportional to 816.20, 1,125.06 and 641.24 is: 883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.20 : 1,125.06 = 641.24 : x
  2. Step 2: Convert to fraction form
    816.20/1,125.06 = 641.24/x
  3. Step 3: Cross multiply
    816.20x = 1,125.06 × 641.24
  4. Step 4: Simplify right side
    816.20x = 721,433.47
  5. Step 5: Solve for x
    x = 721,433.47/816.20
  6. Step 6: Final answer
    x = 883.89

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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.