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Finding the Fourth Proportional to 809.02, 1,210.81 and 677.82

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Solution

The fourth proportional to 809.02, 1,210.81 and 677.82 is: 1,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,210.81 = 677.82 : x
  2. Step 2: Convert to fraction form
    809.02/1,210.81 = 677.82/x
  3. Step 3: Cross multiply
    809.02x = 1,210.81 × 677.82
  4. Step 4: Simplify right side
    809.02x = 820,711.23
  5. Step 5: Solve for x
    x = 820,711.23/809.02
  6. Step 6: Final answer
    x = 1,014.45

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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.