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Finding the Fourth Proportional to 1,102.10, 1,652.74 and 408.60

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Solution

The fourth proportional to 1,102.10, 1,652.74 and 408.60 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.10 : 1,652.74 = 408.60 : x
  2. Step 2: Convert to fraction form
    1,102.10/1,652.74 = 408.60/x
  3. Step 3: Cross multiply
    1,102.10x = 1,652.74 × 408.60
  4. Step 4: Simplify right side
    1,102.10x = 675,309.56
  5. Step 5: Solve for x
    x = 675,309.56/1,102.10
  6. Step 6: Final answer
    x = 612.75

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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.