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Finding the Fourth Proportional to 879.26, 1,319.02 and 532.86

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Solution

The fourth proportional to 879.26, 1,319.02 and 532.86 is: 799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.26 : 1,319.02 = 532.86 : x
  2. Step 2: Convert to fraction form
    879.26/1,319.02 = 532.86/x
  3. Step 3: Cross multiply
    879.26x = 1,319.02 × 532.86
  4. Step 4: Simplify right side
    879.26x = 702,853.00
  5. Step 5: Solve for x
    x = 702,853.00/879.26
  6. Step 6: Final answer
    x = 799.37

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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.