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Finding the Fourth Proportional to 884.34, 1,324.86 and 472.86

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Solution

The fourth proportional to 884.34, 1,324.86 and 472.86 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.34 : 1,324.86 = 472.86 : x
  2. Step 2: Convert to fraction form
    884.34/1,324.86 = 472.86/x
  3. Step 3: Cross multiply
    884.34x = 1,324.86 × 472.86
  4. Step 4: Simplify right side
    884.34x = 626,473.30
  5. Step 5: Solve for x
    x = 626,473.30/884.34
  6. Step 6: Final answer
    x = 708.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.