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Finding the Fourth Proportional to 812.14, 1,219.40 and 535.32

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Solution

The fourth proportional to 812.14, 1,219.40 and 535.32 is: 803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.14 : 1,219.40 = 535.32 : x
  2. Step 2: Convert to fraction form
    812.14/1,219.40 = 535.32/x
  3. Step 3: Cross multiply
    812.14x = 1,219.40 × 535.32
  4. Step 4: Simplify right side
    812.14x = 652,769.21
  5. Step 5: Solve for x
    x = 652,769.21/812.14
  6. Step 6: Final answer
    x = 803.76

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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.