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Finding the Fourth Proportional to 764.84, 1,148.46 and 477.56

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Solution

The fourth proportional to 764.84, 1,148.46 and 477.56 is: 717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.84 : 1,148.46 = 477.56 : x
  2. Step 2: Convert to fraction form
    764.84/1,148.46 = 477.56/x
  3. Step 3: Cross multiply
    764.84x = 1,148.46 × 477.56
  4. Step 4: Simplify right side
    764.84x = 548,458.56
  5. Step 5: Solve for x
    x = 548,458.56/764.84
  6. Step 6: Final answer
    x = 717.09

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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.