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Finding the Fourth Proportional to 879.36, 1,213.74 and 506.46

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Solution

The fourth proportional to 879.36, 1,213.74 and 506.46 is: 699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.36 : 1,213.74 = 506.46 : x
  2. Step 2: Convert to fraction form
    879.36/1,213.74 = 506.46/x
  3. Step 3: Cross multiply
    879.36x = 1,213.74 × 506.46
  4. Step 4: Simplify right side
    879.36x = 614,710.76
  5. Step 5: Solve for x
    x = 614,710.76/879.36
  6. Step 6: Final answer
    x = 699.04

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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.