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Finding the Fourth Proportional to 884.63, 1,320.56 and 820.53

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Solution

The fourth proportional to 884.63, 1,320.56 and 820.53 is: 1,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.63 : 1,320.56 = 820.53 : x
  2. Step 2: Convert to fraction form
    884.63/1,320.56 = 820.53/x
  3. Step 3: Cross multiply
    884.63x = 1,320.56 × 820.53
  4. Step 4: Simplify right side
    884.63x = 1,083,559.10
  5. Step 5: Solve for x
    x = 1,083,559.10/884.63
  6. Step 6: Final answer
    x = 1,224.87

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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.