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Finding the Fourth Proportional to 1,206.70, 1,665.14 and 682.62

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Solution

The fourth proportional to 1,206.70, 1,665.14 and 682.62 is: 941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.70 : 1,665.14 = 682.62 : x
  2. Step 2: Convert to fraction form
    1,206.70/1,665.14 = 682.62/x
  3. Step 3: Cross multiply
    1,206.70x = 1,665.14 × 682.62
  4. Step 4: Simplify right side
    1,206.70x = 1,136,657.87
  5. Step 5: Solve for x
    x = 1,136,657.87/1,206.70
  6. Step 6: Final answer
    x = 941.96

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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.