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Finding the Fourth Proportional to 1,202.47, 1,800.38 and 616.21

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Solution

The fourth proportional to 1,202.47, 1,800.38 and 616.21 is: 922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.47 : 1,800.38 = 616.21 : x
  2. Step 2: Convert to fraction form
    1,202.47/1,800.38 = 616.21/x
  3. Step 3: Cross multiply
    1,202.47x = 1,800.38 × 616.21
  4. Step 4: Simplify right side
    1,202.47x = 1,109,401.62
  5. Step 5: Solve for x
    x = 1,109,401.62/1,202.47
  6. Step 6: Final answer
    x = 922.61

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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.