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Finding the Fourth Proportional to 1,104.89, 1,657.16 and 411.46

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Solution

The fourth proportional to 1,104.89, 1,657.16 and 411.46 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.89 : 1,657.16 = 411.46 : x
  2. Step 2: Convert to fraction form
    1,104.89/1,657.16 = 411.46/x
  3. Step 3: Cross multiply
    1,104.89x = 1,657.16 × 411.46
  4. Step 4: Simplify right side
    1,104.89x = 681,856.08
  5. Step 5: Solve for x
    x = 681,856.08/1,104.89
  6. Step 6: Final answer
    x = 617.13

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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.