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Finding the Fourth Proportional to 763.94, 1,146.14 and 324.96

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Solution

The fourth proportional to 763.94, 1,146.14 and 324.96 is: 487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.94 : 1,146.14 = 324.96 : x
  2. Step 2: Convert to fraction form
    763.94/1,146.14 = 324.96/x
  3. Step 3: Cross multiply
    763.94x = 1,146.14 × 324.96
  4. Step 4: Simplify right side
    763.94x = 372,448.03
  5. Step 5: Solve for x
    x = 372,448.03/763.94
  6. Step 6: Final answer
    x = 487.54

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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.