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Finding the Fourth Proportional to 764.83, 1,147.54 and 326.17

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Solution

The fourth proportional to 764.83, 1,147.54 and 326.17 is: 489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.83 : 1,147.54 = 326.17 : x
  2. Step 2: Convert to fraction form
    764.83/1,147.54 = 326.17/x
  3. Step 3: Cross multiply
    764.83x = 1,147.54 × 326.17
  4. Step 4: Simplify right side
    764.83x = 374,293.12
  5. Step 5: Solve for x
    x = 374,293.12/764.83
  6. Step 6: Final answer
    x = 489.38

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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.