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Finding the Fourth Proportional to 764.89, 1,147.63 and 277.97

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Solution

The fourth proportional to 764.89, 1,147.63 and 277.97 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.89 : 1,147.63 = 277.97 : x
  2. Step 2: Convert to fraction form
    764.89/1,147.63 = 277.97/x
  3. Step 3: Cross multiply
    764.89x = 1,147.63 × 277.97
  4. Step 4: Simplify right side
    764.89x = 319,008.89
  5. Step 5: Solve for x
    x = 319,008.89/764.89
  6. Step 6: Final answer
    x = 417.07

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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.