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Finding the Fourth Proportional to 1,469.70, 2,204.07 and 545.22

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Solution

The fourth proportional to 1,469.70, 2,204.07 and 545.22 is: 817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.70 : 2,204.07 = 545.22 : x
  2. Step 2: Convert to fraction form
    1,469.70/2,204.07 = 545.22/x
  3. Step 3: Cross multiply
    1,469.70x = 2,204.07 × 545.22
  4. Step 4: Simplify right side
    1,469.70x = 1,201,703.05
  5. Step 5: Solve for x
    x = 1,201,703.05/1,469.70
  6. Step 6: Final answer
    x = 817.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.