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Finding the Fourth Proportional to 1,206.65, 1,665.31 and 709.46

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Solution

The fourth proportional to 1,206.65, 1,665.31 and 709.46 is: 979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.65 : 1,665.31 = 709.46 : x
  2. Step 2: Convert to fraction form
    1,206.65/1,665.31 = 709.46/x
  3. Step 3: Cross multiply
    1,206.65x = 1,665.31 × 709.46
  4. Step 4: Simplify right side
    1,206.65x = 1,181,470.83
  5. Step 5: Solve for x
    x = 1,181,470.83/1,206.65
  6. Step 6: Final answer
    x = 979.13

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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.