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Finding the Fourth Proportional to 878.10, 1,212.28 and 692.22

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Solution

The fourth proportional to 878.10, 1,212.28 and 692.22 is: 955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.10 : 1,212.28 = 692.22 : x
  2. Step 2: Convert to fraction form
    878.10/1,212.28 = 692.22/x
  3. Step 3: Cross multiply
    878.10x = 1,212.28 × 692.22
  4. Step 4: Simplify right side
    878.10x = 839,164.46
  5. Step 5: Solve for x
    x = 839,164.46/878.10
  6. Step 6: Final answer
    x = 955.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.