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Finding the Fourth Proportional to 1,228.08, 1,692.95 and 932.83

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Solution

The fourth proportional to 1,228.08, 1,692.95 and 932.83 is: 1,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.08 : 1,692.95 = 932.83 : x
  2. Step 2: Convert to fraction form
    1,228.08/1,692.95 = 932.83/x
  3. Step 3: Cross multiply
    1,228.08x = 1,692.95 × 932.83
  4. Step 4: Simplify right side
    1,228.08x = 1,579,236.88
  5. Step 5: Solve for x
    x = 1,579,236.88/1,228.08
  6. Step 6: Final answer
    x = 1,285.94

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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.