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Finding the Fourth Proportional to 920.58, 1,380.11 and 509.73

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Solution

The fourth proportional to 920.58, 1,380.11 and 509.73 is: 764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.58 : 1,380.11 = 509.73 : x
  2. Step 2: Convert to fraction form
    920.58/1,380.11 = 509.73/x
  3. Step 3: Cross multiply
    920.58x = 1,380.11 × 509.73
  4. Step 4: Simplify right side
    920.58x = 703,480.92
  5. Step 5: Solve for x
    x = 703,480.92/920.58
  6. Step 6: Final answer
    x = 764.17

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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.