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Finding the Fourth Proportional to 808.75, 1,116.15 and 513.91

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Solution

The fourth proportional to 808.75, 1,116.15 and 513.91 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.75 : 1,116.15 = 513.91 : x
  2. Step 2: Convert to fraction form
    808.75/1,116.15 = 513.91/x
  3. Step 3: Cross multiply
    808.75x = 1,116.15 × 513.91
  4. Step 4: Simplify right side
    808.75x = 573,600.65
  5. Step 5: Solve for x
    x = 573,600.65/808.75
  6. Step 6: Final answer
    x = 709.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.