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Finding the Fourth Proportional to 1,104.11, 1,656.81 and 411.25

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Solution

The fourth proportional to 1,104.11, 1,656.81 and 411.25 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.11 : 1,656.81 = 411.25 : x
  2. Step 2: Convert to fraction form
    1,104.11/1,656.81 = 411.25/x
  3. Step 3: Cross multiply
    1,104.11x = 1,656.81 × 411.25
  4. Step 4: Simplify right side
    1,104.11x = 681,363.11
  5. Step 5: Solve for x
    x = 681,363.11/1,104.11
  6. Step 6: Final answer
    x = 617.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.