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Finding the Fourth Proportional to 879.31, 1,319.16 and 263.07

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Solution

The fourth proportional to 879.31, 1,319.16 and 263.07 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.31 : 1,319.16 = 263.07 : x
  2. Step 2: Convert to fraction form
    879.31/1,319.16 = 263.07/x
  3. Step 3: Cross multiply
    879.31x = 1,319.16 × 263.07
  4. Step 4: Simplify right side
    879.31x = 347,031.42
  5. Step 5: Solve for x
    x = 347,031.42/879.31
  6. Step 6: Final answer
    x = 394.66

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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.