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Finding the Fourth Proportional to 808.23, 1,116.12 and 778.14

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Solution

The fourth proportional to 808.23, 1,116.12 and 778.14 is: 1,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.23 : 1,116.12 = 778.14 : x
  2. Step 2: Convert to fraction form
    808.23/1,116.12 = 778.14/x
  3. Step 3: Cross multiply
    808.23x = 1,116.12 × 778.14
  4. Step 4: Simplify right side
    808.23x = 868,497.62
  5. Step 5: Solve for x
    x = 868,497.62/808.23
  6. Step 6: Final answer
    x = 1,074.57

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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.