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Finding the Fourth Proportional to 920.76, 1,380.24 and 509.52

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Solution

The fourth proportional to 920.76, 1,380.24 and 509.52 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.76 : 1,380.24 = 509.52 : x
  2. Step 2: Convert to fraction form
    920.76/1,380.24 = 509.52/x
  3. Step 3: Cross multiply
    920.76x = 1,380.24 × 509.52
  4. Step 4: Simplify right side
    920.76x = 703,259.88
  5. Step 5: Solve for x
    x = 703,259.88/920.76
  6. Step 6: Final answer
    x = 763.78

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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.