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Finding the Fourth Proportional to 919.14, 1,380.12 and 746

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Solution

The fourth proportional to 919.14, 1,380.12 and 746 is: 1,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.14 : 1,380.12 = 746 : x
  2. Step 2: Convert to fraction form
    919.14/1,380.12 = 746/x
  3. Step 3: Cross multiply
    919.14x = 1,380.12 × 746
  4. Step 4: Simplify right side
    919.14x = 1,029,569.52
  5. Step 5: Solve for x
    x = 1,029,569.52/919.14
  6. Step 6: Final answer
    x = 1,120.14

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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.