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Finding the Fourth Proportional to 809.31, 1,214.12 and 535.63

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Solution

The fourth proportional to 809.31, 1,214.12 and 535.63 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.31 : 1,214.12 = 535.63 : x
  2. Step 2: Convert to fraction form
    809.31/1,214.12 = 535.63/x
  3. Step 3: Cross multiply
    809.31x = 1,214.12 × 535.63
  4. Step 4: Simplify right side
    809.31x = 650,316.42
  5. Step 5: Solve for x
    x = 650,316.42/809.31
  6. Step 6: Final answer
    x = 803.54

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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.