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Finding the Fourth Proportional to 1,206.67, 1,665.19 and 682.70

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Solution

The fourth proportional to 1,206.67, 1,665.19 and 682.70 is: 942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.67 : 1,665.19 = 682.70 : x
  2. Step 2: Convert to fraction form
    1,206.67/1,665.19 = 682.70/x
  3. Step 3: Cross multiply
    1,206.67x = 1,665.19 × 682.70
  4. Step 4: Simplify right side
    1,206.67x = 1,136,825.21
  5. Step 5: Solve for x
    x = 1,136,825.21/1,206.67
  6. Step 6: Final answer
    x = 942.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.