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Finding the Fourth Proportional to 1,120.14, 1,545.80 and 622.82

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Solution

The fourth proportional to 1,120.14, 1,545.80 and 622.82 is: 859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.14 : 1,545.80 = 622.82 : x
  2. Step 2: Convert to fraction form
    1,120.14/1,545.80 = 622.82/x
  3. Step 3: Cross multiply
    1,120.14x = 1,545.80 × 622.82
  4. Step 4: Simplify right side
    1,120.14x = 962,755.16
  5. Step 5: Solve for x
    x = 962,755.16/1,120.14
  6. Step 6: Final answer
    x = 859.50

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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.