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Finding the Fourth Proportional to 879.13, 1,316.35 and 768.43

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Solution

The fourth proportional to 879.13, 1,316.35 and 768.43 is: 1,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.13 : 1,316.35 = 768.43 : x
  2. Step 2: Convert to fraction form
    879.13/1,316.35 = 768.43/x
  3. Step 3: Cross multiply
    879.13x = 1,316.35 × 768.43
  4. Step 4: Simplify right side
    879.13x = 1,011,522.83
  5. Step 5: Solve for x
    x = 1,011,522.83/879.13
  6. Step 6: Final answer
    x = 1,150.60

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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.