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Finding the Fourth Proportional to 883.08, 1,216.17 and 863.94

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Solution

The fourth proportional to 883.08, 1,216.17 and 863.94 is: 1,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.08 : 1,216.17 = 863.94 : x
  2. Step 2: Convert to fraction form
    883.08/1,216.17 = 863.94/x
  3. Step 3: Cross multiply
    883.08x = 1,216.17 × 863.94
  4. Step 4: Simplify right side
    883.08x = 1,050,697.91
  5. Step 5: Solve for x
    x = 1,050,697.91/883.08
  6. Step 6: Final answer
    x = 1,189.81

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Why These Related Problems?

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