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Finding the Fourth Proportional to 808.59, 1,214.71 and 484.19

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Solution

The fourth proportional to 808.59, 1,214.71 and 484.19 is: 727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.59 : 1,214.71 = 484.19 : x
  2. Step 2: Convert to fraction form
    808.59/1,214.71 = 484.19/x
  3. Step 3: Cross multiply
    808.59x = 1,214.71 × 484.19
  4. Step 4: Simplify right side
    808.59x = 588,143.15
  5. Step 5: Solve for x
    x = 588,143.15/808.59
  6. Step 6: Final answer
    x = 727.37

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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.