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Finding the Fourth Proportional to 808.65, 1,213.92 and 535.28

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Solution

The fourth proportional to 808.65, 1,213.92 and 535.28 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.65 : 1,213.92 = 535.28 : x
  2. Step 2: Convert to fraction form
    808.65/1,213.92 = 535.28/x
  3. Step 3: Cross multiply
    808.65x = 1,213.92 × 535.28
  4. Step 4: Simplify right side
    808.65x = 649,781.03
  5. Step 5: Solve for x
    x = 649,781.03/808.65
  6. Step 6: Final answer
    x = 803.54

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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.