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Finding the Fourth Proportional to 878.18, 1,211.82 and 505.13

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Solution

The fourth proportional to 878.18, 1,211.82 and 505.13 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.18 : 1,211.82 = 505.13 : x
  2. Step 2: Convert to fraction form
    878.18/1,211.82 = 505.13/x
  3. Step 3: Cross multiply
    878.18x = 1,211.82 × 505.13
  4. Step 4: Simplify right side
    878.18x = 612,126.64
  5. Step 5: Solve for x
    x = 612,126.64/878.18
  6. Step 6: Final answer
    x = 697.04

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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.