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Finding the Fourth Proportional to 853.80, 1,280.70 and 813.30

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Solution

The fourth proportional to 853.80, 1,280.70 and 813.30 is: 1,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.80 : 1,280.70 = 813.30 : x
  2. Step 2: Convert to fraction form
    853.80/1,280.70 = 813.30/x
  3. Step 3: Cross multiply
    853.80x = 1,280.70 × 813.30
  4. Step 4: Simplify right side
    853.80x = 1,041,593.31
  5. Step 5: Solve for x
    x = 1,041,593.31/853.80
  6. Step 6: Final answer
    x = 1,219.95

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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.