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Finding the Fourth Proportional to 919.45, 1,379.23 and 766.46

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Solution

The fourth proportional to 919.45, 1,379.23 and 766.46 is: 1,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.45 : 1,379.23 = 766.46 : x
  2. Step 2: Convert to fraction form
    919.45/1,379.23 = 766.46/x
  3. Step 3: Cross multiply
    919.45x = 1,379.23 × 766.46
  4. Step 4: Simplify right side
    919.45x = 1,057,124.63
  5. Step 5: Solve for x
    x = 1,057,124.63/919.45
  6. Step 6: Final answer
    x = 1,149.74

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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.