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Finding the Fourth Proportional to 800.89, 1,202.08 and 411.17

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Solution

The fourth proportional to 800.89, 1,202.08 and 411.17 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.89 : 1,202.08 = 411.17 : x
  2. Step 2: Convert to fraction form
    800.89/1,202.08 = 411.17/x
  3. Step 3: Cross multiply
    800.89x = 1,202.08 × 411.17
  4. Step 4: Simplify right side
    800.89x = 494,259.23
  5. Step 5: Solve for x
    x = 494,259.23/800.89
  6. Step 6: Final answer
    x = 617.14

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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.