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Finding the Fourth Proportional to 1,019, 1,406.22 and 605

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Solution

The fourth proportional to 1,019, 1,406.22 and 605 is: 834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019 : 1,406.22 = 605 : x
  2. Step 2: Convert to fraction form
    1,019/1,406.22 = 605/x
  3. Step 3: Cross multiply
    1,019x = 1,406.22 × 605
  4. Step 4: Simplify right side
    1,019x = 850,763.10
  5. Step 5: Solve for x
    x = 850,763.10/1,019
  6. Step 6: Final answer
    x = 834.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.