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Finding the Fourth Proportional to 1,202.27, 1,803.34 and 616.91

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Solution

The fourth proportional to 1,202.27, 1,803.34 and 616.91 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.27 : 1,803.34 = 616.91 : x
  2. Step 2: Convert to fraction form
    1,202.27/1,803.34 = 616.91/x
  3. Step 3: Cross multiply
    1,202.27x = 1,803.34 × 616.91
  4. Step 4: Simplify right side
    1,202.27x = 1,112,495.39
  5. Step 5: Solve for x
    x = 1,112,495.39/1,202.27
  6. Step 6: Final answer
    x = 925.33

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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.