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Finding the Fourth Proportional to 883.27, 1,216.31 and 864.10

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Solution

The fourth proportional to 883.27, 1,216.31 and 864.10 is: 1,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.27 : 1,216.31 = 864.10 : x
  2. Step 2: Convert to fraction form
    883.27/1,216.31 = 864.10/x
  3. Step 3: Cross multiply
    883.27x = 1,216.31 × 864.10
  4. Step 4: Simplify right side
    883.27x = 1,051,013.47
  5. Step 5: Solve for x
    x = 1,051,013.47/883.27
  6. Step 6: Final answer
    x = 1,189.91

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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.