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Finding the Fourth Proportional to 879.66, 1,319.49 and 263.35

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Solution

The fourth proportional to 879.66, 1,319.49 and 263.35 is: 395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.66 : 1,319.49 = 263.35 : x
  2. Step 2: Convert to fraction form
    879.66/1,319.49 = 263.35/x
  3. Step 3: Cross multiply
    879.66x = 1,319.49 × 263.35
  4. Step 4: Simplify right side
    879.66x = 347,489.34
  5. Step 5: Solve for x
    x = 347,489.34/879.66
  6. Step 6: Final answer
    x = 395.03

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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.