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Finding the Fourth Proportional to 1,120.88, 1,546.56 and 678.69

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Solution

The fourth proportional to 1,120.88, 1,546.56 and 678.69 is: 936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.88 : 1,546.56 = 678.69 : x
  2. Step 2: Convert to fraction form
    1,120.88/1,546.56 = 678.69/x
  3. Step 3: Cross multiply
    1,120.88x = 1,546.56 × 678.69
  4. Step 4: Simplify right side
    1,120.88x = 1,049,624.53
  5. Step 5: Solve for x
    x = 1,049,624.53/1,120.88
  6. Step 6: Final answer
    x = 936.43

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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.