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Finding the Fourth Proportional to 884.23, 1,218.67 and 782.39

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Solution

The fourth proportional to 884.23, 1,218.67 and 782.39 is: 1,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.23 : 1,218.67 = 782.39 : x
  2. Step 2: Convert to fraction form
    884.23/1,218.67 = 782.39/x
  3. Step 3: Cross multiply
    884.23x = 1,218.67 × 782.39
  4. Step 4: Simplify right side
    884.23x = 953,475.22
  5. Step 5: Solve for x
    x = 953,475.22/884.23
  6. Step 6: Final answer
    x = 1,078.31

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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.