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Finding the Fourth Proportional to 1,238.36, 1,708.93 and 678.83

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Solution

The fourth proportional to 1,238.36, 1,708.93 and 678.83 is: 936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.36 : 1,708.93 = 678.83 : x
  2. Step 2: Convert to fraction form
    1,238.36/1,708.93 = 678.83/x
  3. Step 3: Cross multiply
    1,238.36x = 1,708.93 × 678.83
  4. Step 4: Simplify right side
    1,238.36x = 1,160,068.03
  5. Step 5: Solve for x
    x = 1,160,068.03/1,238.36
  6. Step 6: Final answer
    x = 936.78

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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.