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Finding the Fourth Proportional to 879.88, 1,319.80 and 263.59

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Solution

The fourth proportional to 879.88, 1,319.80 and 263.59 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.88 : 1,319.80 = 263.59 : x
  2. Step 2: Convert to fraction form
    879.88/1,319.80 = 263.59/x
  3. Step 3: Cross multiply
    879.88x = 1,319.80 × 263.59
  4. Step 4: Simplify right side
    879.88x = 347,886.08
  5. Step 5: Solve for x
    x = 347,886.08/879.88
  6. Step 6: Final answer
    x = 395.38

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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.