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Finding the Fourth Proportional to 808.42, 1,115.70 and 513.78

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Solution

The fourth proportional to 808.42, 1,115.70 and 513.78 is: 709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.42 : 1,115.70 = 513.78 : x
  2. Step 2: Convert to fraction form
    808.42/1,115.70 = 513.78/x
  3. Step 3: Cross multiply
    808.42x = 1,115.70 × 513.78
  4. Step 4: Simplify right side
    808.42x = 573,224.35
  5. Step 5: Solve for x
    x = 573,224.35/808.42
  6. Step 6: Final answer
    x = 709.07

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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.