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Finding the Fourth Proportional to 1,074.92, 1,605.19 and 919.22

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Solution

The fourth proportional to 1,074.92, 1,605.19 and 919.22 is: 1,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.92 : 1,605.19 = 919.22 : x
  2. Step 2: Convert to fraction form
    1,074.92/1,605.19 = 919.22/x
  3. Step 3: Cross multiply
    1,074.92x = 1,605.19 × 919.22
  4. Step 4: Simplify right side
    1,074.92x = 1,475,522.75
  5. Step 5: Solve for x
    x = 1,475,522.75/1,074.92
  6. Step 6: Final answer
    x = 1,372.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.