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Finding the Fourth Proportional to 1,119.65, 1,545.05 and 622.26

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Solution

The fourth proportional to 1,119.65, 1,545.05 and 622.26 is: 858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.65 : 1,545.05 = 622.26 : x
  2. Step 2: Convert to fraction form
    1,119.65/1,545.05 = 622.26/x
  3. Step 3: Cross multiply
    1,119.65x = 1,545.05 × 622.26
  4. Step 4: Simplify right side
    1,119.65x = 961,418.27
  5. Step 5: Solve for x
    x = 961,418.27/1,119.65
  6. Step 6: Final answer
    x = 858.68

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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.