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Finding the Fourth Proportional to 1,121.10, 1,546.83 and 678.92

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Solution

The fourth proportional to 1,121.10, 1,546.83 and 678.92 is: 936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.10 : 1,546.83 = 678.92 : x
  2. Step 2: Convert to fraction form
    1,121.10/1,546.83 = 678.92/x
  3. Step 3: Cross multiply
    1,121.10x = 1,546.83 × 678.92
  4. Step 4: Simplify right side
    1,121.10x = 1,050,166.09
  5. Step 5: Solve for x
    x = 1,050,166.09/1,121.10
  6. Step 6: Final answer
    x = 936.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.