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Finding the Fourth Proportional to 1,469.65, 2,204.23 and 545.64

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Solution

The fourth proportional to 1,469.65, 2,204.23 and 545.64 is: 818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.65 : 2,204.23 = 545.64 : x
  2. Step 2: Convert to fraction form
    1,469.65/2,204.23 = 545.64/x
  3. Step 3: Cross multiply
    1,469.65x = 2,204.23 × 545.64
  4. Step 4: Simplify right side
    1,469.65x = 1,202,716.06
  5. Step 5: Solve for x
    x = 1,202,716.06/1,469.65
  6. Step 6: Final answer
    x = 818.37

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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.