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Finding the Fourth Proportional to 764.34, 1,145.72 and 439.06

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Solution

The fourth proportional to 764.34, 1,145.72 and 439.06 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.34 : 1,145.72 = 439.06 : x
  2. Step 2: Convert to fraction form
    764.34/1,145.72 = 439.06/x
  3. Step 3: Cross multiply
    764.34x = 1,145.72 × 439.06
  4. Step 4: Simplify right side
    764.34x = 503,039.82
  5. Step 5: Solve for x
    x = 503,039.82/764.34
  6. Step 6: Final answer
    x = 658.14

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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.