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Finding the Fourth Proportional to 808.80, 1,214.58 and 627.48

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Solution

The fourth proportional to 808.80, 1,214.58 and 627.48 is: 942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.80 : 1,214.58 = 627.48 : x
  2. Step 2: Convert to fraction form
    808.80/1,214.58 = 627.48/x
  3. Step 3: Cross multiply
    808.80x = 1,214.58 × 627.48
  4. Step 4: Simplify right side
    808.80x = 762,124.66
  5. Step 5: Solve for x
    x = 762,124.66/808.80
  6. Step 6: Final answer
    x = 942.29

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