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Finding the Fourth Proportional to 764.46, 1,145.23 and 439.14

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Solution

The fourth proportional to 764.46, 1,145.23 and 439.14 is: 657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,145.23 = 439.14 : x
  2. Step 2: Convert to fraction form
    764.46/1,145.23 = 439.14/x
  3. Step 3: Cross multiply
    764.46x = 1,145.23 × 439.14
  4. Step 4: Simplify right side
    764.46x = 502,916.30
  5. Step 5: Solve for x
    x = 502,916.30/764.46
  6. Step 6: Final answer
    x = 657.87

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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.