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Finding the Fourth Proportional to 1,206.34, 1,665.02 and 682.68

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Solution

The fourth proportional to 1,206.34, 1,665.02 and 682.68 is: 942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.34 : 1,665.02 = 682.68 : x
  2. Step 2: Convert to fraction form
    1,206.34/1,665.02 = 682.68/x
  3. Step 3: Cross multiply
    1,206.34x = 1,665.02 × 682.68
  4. Step 4: Simplify right side
    1,206.34x = 1,136,675.85
  5. Step 5: Solve for x
    x = 1,136,675.85/1,206.34
  6. Step 6: Final answer
    x = 942.25

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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.