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Finding the Fourth Proportional to 1,101.84, 1,652.22 and 408.15

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Solution

The fourth proportional to 1,101.84, 1,652.22 and 408.15 is: 612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.84 : 1,652.22 = 408.15 : x
  2. Step 2: Convert to fraction form
    1,101.84/1,652.22 = 408.15/x
  3. Step 3: Cross multiply
    1,101.84x = 1,652.22 × 408.15
  4. Step 4: Simplify right side
    1,101.84x = 674,353.59
  5. Step 5: Solve for x
    x = 674,353.59/1,101.84
  6. Step 6: Final answer
    x = 612.02

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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.