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Finding the Fourth Proportional to 878.95, 1,213.16 and 506.15

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Solution

The fourth proportional to 878.95, 1,213.16 and 506.15 is: 698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.95 : 1,213.16 = 506.15 : x
  2. Step 2: Convert to fraction form
    878.95/1,213.16 = 506.15/x
  3. Step 3: Cross multiply
    878.95x = 1,213.16 × 506.15
  4. Step 4: Simplify right side
    878.95x = 614,039.73
  5. Step 5: Solve for x
    x = 614,039.73/878.95
  6. Step 6: Final answer
    x = 698.60

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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.