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Finding the Fourth Proportional to 1,206.80, 1,665.40 and 709.45

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Solution

The fourth proportional to 1,206.80, 1,665.40 and 709.45 is: 979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.80 : 1,665.40 = 709.45 : x
  2. Step 2: Convert to fraction form
    1,206.80/1,665.40 = 709.45/x
  3. Step 3: Cross multiply
    1,206.80x = 1,665.40 × 709.45
  4. Step 4: Simplify right side
    1,206.80x = 1,181,512.09
  5. Step 5: Solve for x
    x = 1,181,512.09/1,206.80
  6. Step 6: Final answer
    x = 979.04

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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.