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Finding the Fourth Proportional to 808.57, 1,213.13 and 535.74

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Solution

The fourth proportional to 808.57, 1,213.13 and 535.74 is: 803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.57 : 1,213.13 = 535.74 : x
  2. Step 2: Convert to fraction form
    808.57/1,213.13 = 535.74/x
  3. Step 3: Cross multiply
    808.57x = 1,213.13 × 535.74
  4. Step 4: Simplify right side
    808.57x = 649,922.27
  5. Step 5: Solve for x
    x = 649,922.27/808.57
  6. Step 6: Final answer
    x = 803.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.