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Finding the Fourth Proportional to 884.34, 1,328.45 and 537.86

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Solution

The fourth proportional to 884.34, 1,328.45 and 537.86 is: 807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.34 : 1,328.45 = 537.86 : x
  2. Step 2: Convert to fraction form
    884.34/1,328.45 = 537.86/x
  3. Step 3: Cross multiply
    884.34x = 1,328.45 × 537.86
  4. Step 4: Simplify right side
    884.34x = 714,520.75
  5. Step 5: Solve for x
    x = 714,520.75/884.34
  6. Step 6: Final answer
    x = 807.97

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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.