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Finding the Fourth Proportional to 764.62, 1,146.85 and 277.54

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Solution

The fourth proportional to 764.62, 1,146.85 and 277.54 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.62 : 1,146.85 = 277.54 : x
  2. Step 2: Convert to fraction form
    764.62/1,146.85 = 277.54/x
  3. Step 3: Cross multiply
    764.62x = 1,146.85 × 277.54
  4. Step 4: Simplify right side
    764.62x = 318,296.75
  5. Step 5: Solve for x
    x = 318,296.75/764.62
  6. Step 6: Final answer
    x = 416.28

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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.