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Finding the Fourth Proportional to 808.25, 1,212.17 and 678.29

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Solution

The fourth proportional to 808.25, 1,212.17 and 678.29 is: 1,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.25 : 1,212.17 = 678.29 : x
  2. Step 2: Convert to fraction form
    808.25/1,212.17 = 678.29/x
  3. Step 3: Cross multiply
    808.25x = 1,212.17 × 678.29
  4. Step 4: Simplify right side
    808.25x = 822,193.34
  5. Step 5: Solve for x
    x = 822,193.34/808.25
  6. Step 6: Final answer
    x = 1,017.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.