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Finding the Fourth Proportional to 919.14, 1,378.50 and 766.05

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Solution

The fourth proportional to 919.14, 1,378.50 and 766.05 is: 1,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.14 : 1,378.50 = 766.05 : x
  2. Step 2: Convert to fraction form
    919.14/1,378.50 = 766.05/x
  3. Step 3: Cross multiply
    919.14x = 1,378.50 × 766.05
  4. Step 4: Simplify right side
    919.14x = 1,055,999.93
  5. Step 5: Solve for x
    x = 1,055,999.93/919.14
  6. Step 6: Final answer
    x = 1,148.90

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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.