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Finding the Fourth Proportional to 764.92, 1,147.76 and 400

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Solution

The fourth proportional to 764.92, 1,147.76 and 400 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,147.76 = 400 : x
  2. Step 2: Convert to fraction form
    764.92/1,147.76 = 400/x
  3. Step 3: Cross multiply
    764.92x = 1,147.76 × 400
  4. Step 4: Simplify right side
    764.92x = 459,104
  5. Step 5: Solve for x
    x = 459,104/764.92
  6. Step 6: Final answer
    x = 600.20

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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.