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Finding the Fourth Proportional to 1,225.62, 1,692.08 and 827.97

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Solution

The fourth proportional to 1,225.62, 1,692.08 and 827.97 is: 1,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.62 : 1,692.08 = 827.97 : x
  2. Step 2: Convert to fraction form
    1,225.62/1,692.08 = 827.97/x
  3. Step 3: Cross multiply
    1,225.62x = 1,692.08 × 827.97
  4. Step 4: Simplify right side
    1,225.62x = 1,400,987.34
  5. Step 5: Solve for x
    x = 1,400,987.34/1,225.62
  6. Step 6: Final answer
    x = 1,143.08

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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.