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Finding the Fourth Proportional to 764.08, 1,146.08 and 244.08

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Solution

The fourth proportional to 764.08, 1,146.08 and 244.08 is: 366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.08 : 1,146.08 = 244.08 : x
  2. Step 2: Convert to fraction form
    764.08/1,146.08 = 244.08/x
  3. Step 3: Cross multiply
    764.08x = 1,146.08 × 244.08
  4. Step 4: Simplify right side
    764.08x = 279,735.21
  5. Step 5: Solve for x
    x = 279,735.21/764.08
  6. Step 6: Final answer
    x = 366.11

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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.