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Finding the Fourth Proportional to 878.93, 1,213.94 and 583.68

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Solution

The fourth proportional to 878.93, 1,213.94 and 583.68 is: 806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.93 : 1,213.94 = 583.68 : x
  2. Step 2: Convert to fraction form
    878.93/1,213.94 = 583.68/x
  3. Step 3: Cross multiply
    878.93x = 1,213.94 × 583.68
  4. Step 4: Simplify right side
    878.93x = 708,549.58
  5. Step 5: Solve for x
    x = 708,549.58/878.93
  6. Step 6: Final answer
    x = 806.15

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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.