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Finding the Fourth Proportional to 808.59, 1,213.14 and 562.05

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Solution

The fourth proportional to 808.59, 1,213.14 and 562.05 is: 843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.59 : 1,213.14 = 562.05 : x
  2. Step 2: Convert to fraction form
    808.59/1,213.14 = 562.05/x
  3. Step 3: Cross multiply
    808.59x = 1,213.14 × 562.05
  4. Step 4: Simplify right side
    808.59x = 681,844.28
  5. Step 5: Solve for x
    x = 681,844.28/808.59
  6. Step 6: Final answer
    x = 843.25

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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.