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Finding the Fourth Proportional to 1,238.09, 1,853.26 and 688.51

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Solution

The fourth proportional to 1,238.09, 1,853.26 and 688.51 is: 1,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.09 : 1,853.26 = 688.51 : x
  2. Step 2: Convert to fraction form
    1,238.09/1,853.26 = 688.51/x
  3. Step 3: Cross multiply
    1,238.09x = 1,853.26 × 688.51
  4. Step 4: Simplify right side
    1,238.09x = 1,275,988.04
  5. Step 5: Solve for x
    x = 1,275,988.04/1,238.09
  6. Step 6: Final answer
    x = 1,030.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.