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Finding the Fourth Proportional to 878.09, 1,211.86 and 505.19

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Solution

The fourth proportional to 878.09, 1,211.86 and 505.19 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.09 : 1,211.86 = 505.19 : x
  2. Step 2: Convert to fraction form
    878.09/1,211.86 = 505.19/x
  3. Step 3: Cross multiply
    878.09x = 1,211.86 × 505.19
  4. Step 4: Simplify right side
    878.09x = 612,216.40
  5. Step 5: Solve for x
    x = 612,216.40/878.09
  6. Step 6: Final answer
    x = 697.21

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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.