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Finding the Fourth Proportional to 878.18, 1,211.94 and 583.25

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Solution

The fourth proportional to 878.18, 1,211.94 and 583.25 is: 804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.18 : 1,211.94 = 583.25 : x
  2. Step 2: Convert to fraction form
    878.18/1,211.94 = 583.25/x
  3. Step 3: Cross multiply
    878.18x = 1,211.94 × 583.25
  4. Step 4: Simplify right side
    878.18x = 706,857.95
  5. Step 5: Solve for x
    x = 706,857.95/878.18
  6. Step 6: Final answer
    x = 804.92

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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.