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Finding the Fourth Proportional to 764.98, 1,147.38 and 217.14

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Solution

The fourth proportional to 764.98, 1,147.38 and 217.14 is: 325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.98 : 1,147.38 = 217.14 : x
  2. Step 2: Convert to fraction form
    764.98/1,147.38 = 217.14/x
  3. Step 3: Cross multiply
    764.98x = 1,147.38 × 217.14
  4. Step 4: Simplify right side
    764.98x = 249,142.09
  5. Step 5: Solve for x
    x = 249,142.09/764.98
  6. Step 6: Final answer
    x = 325.68

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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.