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Finding the Fourth Proportional to 1,120.89, 1,546.58 and 678.78

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Solution

The fourth proportional to 1,120.89, 1,546.58 and 678.78 is: 936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.89 : 1,546.58 = 678.78 : x
  2. Step 2: Convert to fraction form
    1,120.89/1,546.58 = 678.78/x
  3. Step 3: Cross multiply
    1,120.89x = 1,546.58 × 678.78
  4. Step 4: Simplify right side
    1,120.89x = 1,049,792.52
  5. Step 5: Solve for x
    x = 1,049,792.52/1,120.89
  6. Step 6: Final answer
    x = 936.57

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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.