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Finding the Fourth Proportional to 879.75, 1,319.23 and 468.78

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Solution

The fourth proportional to 879.75, 1,319.23 and 468.78 is: 702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.75 : 1,319.23 = 468.78 : x
  2. Step 2: Convert to fraction form
    879.75/1,319.23 = 468.78/x
  3. Step 3: Cross multiply
    879.75x = 1,319.23 × 468.78
  4. Step 4: Simplify right side
    879.75x = 618,428.64
  5. Step 5: Solve for x
    x = 618,428.64/879.75
  6. Step 6: Final answer
    x = 702.96

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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.