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Finding the Fourth Proportional to 879.13, 1,316.67 and 513.28

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Solution

The fourth proportional to 879.13, 1,316.67 and 513.28 is: 768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.13 : 1,316.67 = 513.28 : x
  2. Step 2: Convert to fraction form
    879.13/1,316.67 = 513.28/x
  3. Step 3: Cross multiply
    879.13x = 1,316.67 × 513.28
  4. Step 4: Simplify right side
    879.13x = 675,820.38
  5. Step 5: Solve for x
    x = 675,820.38/879.13
  6. Step 6: Final answer
    x = 768.74

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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.