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Finding the Fourth Proportional to 1,306.94, 1,798.40 and 1,206.29

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Solution

The fourth proportional to 1,306.94, 1,798.40 and 1,206.29 is: 1,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.94 : 1,798.40 = 1,206.29 : x
  2. Step 2: Convert to fraction form
    1,306.94/1,798.40 = 1,206.29/x
  3. Step 3: Cross multiply
    1,306.94x = 1,798.40 × 1,206.29
  4. Step 4: Simplify right side
    1,306.94x = 2,169,399.45
  5. Step 5: Solve for x
    x = 2,169,399.45/1,306.94
  6. Step 6: Final answer
    x = 1,659.91

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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.