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Finding the Fourth Proportional to 884.26, 1,219.80 and 534.94

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Solution

The fourth proportional to 884.26, 1,219.80 and 534.94 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.26 : 1,219.80 = 534.94 : x
  2. Step 2: Convert to fraction form
    884.26/1,219.80 = 534.94/x
  3. Step 3: Cross multiply
    884.26x = 1,219.80 × 534.94
  4. Step 4: Simplify right side
    884.26x = 652,519.81
  5. Step 5: Solve for x
    x = 652,519.81/884.26
  6. Step 6: Final answer
    x = 737.93

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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.