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Finding the Fourth Proportional to 883.40, 1,216.49 and 864.23

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Solution

The fourth proportional to 883.40, 1,216.49 and 864.23 is: 1,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.40 : 1,216.49 = 864.23 : x
  2. Step 2: Convert to fraction form
    883.40/1,216.49 = 864.23/x
  3. Step 3: Cross multiply
    883.40x = 1,216.49 × 864.23
  4. Step 4: Simplify right side
    883.40x = 1,051,316.75
  5. Step 5: Solve for x
    x = 1,051,316.75/883.40
  6. Step 6: Final answer
    x = 1,190.09

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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.