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Finding the Fourth Proportional to 883.95, 1,217.39 and 864.83

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Solution

The fourth proportional to 883.95, 1,217.39 and 864.83 is: 1,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.95 : 1,217.39 = 864.83 : x
  2. Step 2: Convert to fraction form
    883.95/1,217.39 = 864.83/x
  3. Step 3: Cross multiply
    883.95x = 1,217.39 × 864.83
  4. Step 4: Simplify right side
    883.95x = 1,052,824.98
  5. Step 5: Solve for x
    x = 1,052,824.98/883.95
  6. Step 6: Final answer
    x = 1,191.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.