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Finding the Fourth Proportional to 1,120.19, 1,545.92 and 622.88

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Solution

The fourth proportional to 1,120.19, 1,545.92 and 622.88 is: 859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.19 : 1,545.92 = 622.88 : x
  2. Step 2: Convert to fraction form
    1,120.19/1,545.92 = 622.88/x
  3. Step 3: Cross multiply
    1,120.19x = 1,545.92 × 622.88
  4. Step 4: Simplify right side
    1,120.19x = 962,922.65
  5. Step 5: Solve for x
    x = 962,922.65/1,120.19
  6. Step 6: Final answer
    x = 859.61

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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.