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Finding the Fourth Proportional to 884, 1,216.32 and 811.10

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Solution

The fourth proportional to 884, 1,216.32 and 811.10 is: 1,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    884 : 1,216.32 = 811.10 : x
  2. Step 2: Convert to fraction form
    884/1,216.32 = 811.10/x
  3. Step 3: Cross multiply
    884x = 1,216.32 × 811.10
  4. Step 4: Simplify right side
    884x = 986,557.15
  5. Step 5: Solve for x
    x = 986,557.15/884
  6. Step 6: Final answer
    x = 1,116.01

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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.