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Finding the Fourth Proportional to 1,103.21, 1,652.68 and 616.60

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Solution

The fourth proportional to 1,103.21, 1,652.68 and 616.60 is: 923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.21 : 1,652.68 = 616.60 : x
  2. Step 2: Convert to fraction form
    1,103.21/1,652.68 = 616.60/x
  3. Step 3: Cross multiply
    1,103.21x = 1,652.68 × 616.60
  4. Step 4: Simplify right side
    1,103.21x = 1,019,042.49
  5. Step 5: Solve for x
    x = 1,019,042.49/1,103.21
  6. Step 6: Final answer
    x = 923.71

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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.