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Finding the Fourth Proportional to 879.35, 1,213.26 and 613.51

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Solution

The fourth proportional to 879.35, 1,213.26 and 613.51 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.35 : 1,213.26 = 613.51 : x
  2. Step 2: Convert to fraction form
    879.35/1,213.26 = 613.51/x
  3. Step 3: Cross multiply
    879.35x = 1,213.26 × 613.51
  4. Step 4: Simplify right side
    879.35x = 744,347.14
  5. Step 5: Solve for x
    x = 744,347.14/879.35
  6. Step 6: Final answer
    x = 846.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.