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Finding the Fourth Proportional to 878.42, 1,213.24 and 583.18

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Solution

The fourth proportional to 878.42, 1,213.24 and 583.18 is: 805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.42 : 1,213.24 = 583.18 : x
  2. Step 2: Convert to fraction form
    878.42/1,213.24 = 583.18/x
  3. Step 3: Cross multiply
    878.42x = 1,213.24 × 583.18
  4. Step 4: Simplify right side
    878.42x = 707,537.30
  5. Step 5: Solve for x
    x = 707,537.30/878.42
  6. Step 6: Final answer
    x = 805.47

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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.