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Finding the Fourth Proportional to 1,120.19, 1,545.77 and 622.80

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Solution

The fourth proportional to 1,120.19, 1,545.77 and 622.80 is: 859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.19 : 1,545.77 = 622.80 : x
  2. Step 2: Convert to fraction form
    1,120.19/1,545.77 = 622.80/x
  3. Step 3: Cross multiply
    1,120.19x = 1,545.77 × 622.80
  4. Step 4: Simplify right side
    1,120.19x = 962,707.11
  5. Step 5: Solve for x
    x = 962,707.11/1,120.19
  6. Step 6: Final answer
    x = 859.42

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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.