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Finding the Fourth Proportional to 764.40, 1,147.03 and 472.61

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Solution

The fourth proportional to 764.40, 1,147.03 and 472.61 is: 709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,147.03 = 472.61 : x
  2. Step 2: Convert to fraction form
    764.40/1,147.03 = 472.61/x
  3. Step 3: Cross multiply
    764.40x = 1,147.03 × 472.61
  4. Step 4: Simplify right side
    764.40x = 542,097.85
  5. Step 5: Solve for x
    x = 542,097.85/764.40
  6. Step 6: Final answer
    x = 709.18

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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.