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Finding the Fourth Proportional to 879.60, 1,213.84 and 506.62

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Solution

The fourth proportional to 879.60, 1,213.84 and 506.62 is: 699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.60 : 1,213.84 = 506.62 : x
  2. Step 2: Convert to fraction form
    879.60/1,213.84 = 506.62/x
  3. Step 3: Cross multiply
    879.60x = 1,213.84 × 506.62
  4. Step 4: Simplify right side
    879.60x = 614,953.01
  5. Step 5: Solve for x
    x = 614,953.01/879.60
  6. Step 6: Final answer
    x = 699.13

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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.