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Finding the Fourth Proportional to 879.83, 1,319.75 and 230.57

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Solution

The fourth proportional to 879.83, 1,319.75 and 230.57 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.83 : 1,319.75 = 230.57 : x
  2. Step 2: Convert to fraction form
    879.83/1,319.75 = 230.57/x
  3. Step 3: Cross multiply
    879.83x = 1,319.75 × 230.57
  4. Step 4: Simplify right side
    879.83x = 304,294.76
  5. Step 5: Solve for x
    x = 304,294.76/879.83
  6. Step 6: Final answer
    x = 345.86

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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.