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Finding the Fourth Proportional to 1,227.83, 1,692.61 and 932.58

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Solution

The fourth proportional to 1,227.83, 1,692.61 and 932.58 is: 1,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.83 : 1,692.61 = 932.58 : x
  2. Step 2: Convert to fraction form
    1,227.83/1,692.61 = 932.58/x
  3. Step 3: Cross multiply
    1,227.83x = 1,692.61 × 932.58
  4. Step 4: Simplify right side
    1,227.83x = 1,578,491.90
  5. Step 5: Solve for x
    x = 1,578,491.90/1,227.83
  6. Step 6: Final answer
    x = 1,285.60

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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.