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Finding the Fourth Proportional to 808.14, 1,115.04 and 513.84

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Solution

The fourth proportional to 808.14, 1,115.04 and 513.84 is: 708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,115.04 = 513.84 : x
  2. Step 2: Convert to fraction form
    808.14/1,115.04 = 513.84/x
  3. Step 3: Cross multiply
    808.14x = 1,115.04 × 513.84
  4. Step 4: Simplify right side
    808.14x = 572,952.15
  5. Step 5: Solve for x
    x = 572,952.15/808.14
  6. Step 6: Final answer
    x = 708.98

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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.