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Finding the Fourth Proportional to 1,238.51, 1,709.07 and 678.88

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Solution

The fourth proportional to 1,238.51, 1,709.07 and 678.88 is: 936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.51 : 1,709.07 = 678.88 : x
  2. Step 2: Convert to fraction form
    1,238.51/1,709.07 = 678.88/x
  3. Step 3: Cross multiply
    1,238.51x = 1,709.07 × 678.88
  4. Step 4: Simplify right side
    1,238.51x = 1,160,253.44
  5. Step 5: Solve for x
    x = 1,160,253.44/1,238.51
  6. Step 6: Final answer
    x = 936.81

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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.