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Finding the Fourth Proportional to 808.71, 1,115.53 and 513.73

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Solution

The fourth proportional to 808.71, 1,115.53 and 513.73 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.71 : 1,115.53 = 513.73 : x
  2. Step 2: Convert to fraction form
    808.71/1,115.53 = 513.73/x
  3. Step 3: Cross multiply
    808.71x = 1,115.53 × 513.73
  4. Step 4: Simplify right side
    808.71x = 573,081.23
  5. Step 5: Solve for x
    x = 573,081.23/808.71
  6. Step 6: Final answer
    x = 708.64

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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.