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Finding the Fourth Proportional to 1,206.73, 1,666.03 and 926.43

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Solution

The fourth proportional to 1,206.73, 1,666.03 and 926.43 is: 1,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.73 : 1,666.03 = 926.43 : x
  2. Step 2: Convert to fraction form
    1,206.73/1,666.03 = 926.43/x
  3. Step 3: Cross multiply
    1,206.73x = 1,666.03 × 926.43
  4. Step 4: Simplify right side
    1,206.73x = 1,543,451.84
  5. Step 5: Solve for x
    x = 1,543,451.84/1,206.73
  6. Step 6: Final answer
    x = 1,279.04

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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.