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Finding the Fourth Proportional to 1,101.61, 1,652.34 and 408.16

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Solution

The fourth proportional to 1,101.61, 1,652.34 and 408.16 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.61 : 1,652.34 = 408.16 : x
  2. Step 2: Convert to fraction form
    1,101.61/1,652.34 = 408.16/x
  3. Step 3: Cross multiply
    1,101.61x = 1,652.34 × 408.16
  4. Step 4: Simplify right side
    1,101.61x = 674,419.09
  5. Step 5: Solve for x
    x = 674,419.09/1,101.61
  6. Step 6: Final answer
    x = 612.21

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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.