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Finding the Fourth Proportional to 1,206.93, 1,665.27 and 709.59

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Solution

The fourth proportional to 1,206.93, 1,665.27 and 709.59 is: 979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.93 : 1,665.27 = 709.59 : x
  2. Step 2: Convert to fraction form
    1,206.93/1,665.27 = 709.59/x
  3. Step 3: Cross multiply
    1,206.93x = 1,665.27 × 709.59
  4. Step 4: Simplify right side
    1,206.93x = 1,181,658.94
  5. Step 5: Solve for x
    x = 1,181,658.94/1,206.93
  6. Step 6: Final answer
    x = 979.06

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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.