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Finding the Fourth Proportional to 884.61, 1,320.44 and 820.36

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Solution

The fourth proportional to 884.61, 1,320.44 and 820.36 is: 1,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.61 : 1,320.44 = 820.36 : x
  2. Step 2: Convert to fraction form
    884.61/1,320.44 = 820.36/x
  3. Step 3: Cross multiply
    884.61x = 1,320.44 × 820.36
  4. Step 4: Simplify right side
    884.61x = 1,083,236.16
  5. Step 5: Solve for x
    x = 1,083,236.16/884.61
  6. Step 6: Final answer
    x = 1,224.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.