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Finding the Fourth Proportional to 764.89, 1,147.41 and 217.08

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Solution

The fourth proportional to 764.89, 1,147.41 and 217.08 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.89 : 1,147.41 = 217.08 : x
  2. Step 2: Convert to fraction form
    764.89/1,147.41 = 217.08/x
  3. Step 3: Cross multiply
    764.89x = 1,147.41 × 217.08
  4. Step 4: Simplify right side
    764.89x = 249,079.76
  5. Step 5: Solve for x
    x = 249,079.76/764.89
  6. Step 6: Final answer
    x = 325.64

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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.