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Finding the Fourth Proportional to 879.75, 1,319.62 and 263.47

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Solution

The fourth proportional to 879.75, 1,319.62 and 263.47 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.75 : 1,319.62 = 263.47 : x
  2. Step 2: Convert to fraction form
    879.75/1,319.62 = 263.47/x
  3. Step 3: Cross multiply
    879.75x = 1,319.62 × 263.47
  4. Step 4: Simplify right side
    879.75x = 347,674.65
  5. Step 5: Solve for x
    x = 347,674.65/879.75
  6. Step 6: Final answer
    x = 395.19

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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.