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Finding the Fourth Proportional to 1,267.73, 1,747.82 and 930.57

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Solution

The fourth proportional to 1,267.73, 1,747.82 and 930.57 is: 1,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.73 : 1,747.82 = 930.57 : x
  2. Step 2: Convert to fraction form
    1,267.73/1,747.82 = 930.57/x
  3. Step 3: Cross multiply
    1,267.73x = 1,747.82 × 930.57
  4. Step 4: Simplify right side
    1,267.73x = 1,626,471.18
  5. Step 5: Solve for x
    x = 1,626,471.18/1,267.73
  6. Step 6: Final answer
    x = 1,282.98

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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.