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Finding the Fourth Proportional to 878.62, 1,211.80 and 567.58

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Solution

The fourth proportional to 878.62, 1,211.80 and 567.58 is: 782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.62 : 1,211.80 = 567.58 : x
  2. Step 2: Convert to fraction form
    878.62/1,211.80 = 567.58/x
  3. Step 3: Cross multiply
    878.62x = 1,211.80 × 567.58
  4. Step 4: Simplify right side
    878.62x = 687,793.44
  5. Step 5: Solve for x
    x = 687,793.44/878.62
  6. Step 6: Final answer
    x = 782.81

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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.