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Finding the Fourth Proportional to 764.68, 1,147.01 and 277.87

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Solution

The fourth proportional to 764.68, 1,147.01 and 277.87 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.68 : 1,147.01 = 277.87 : x
  2. Step 2: Convert to fraction form
    764.68/1,147.01 = 277.87/x
  3. Step 3: Cross multiply
    764.68x = 1,147.01 × 277.87
  4. Step 4: Simplify right side
    764.68x = 318,719.67
  5. Step 5: Solve for x
    x = 318,719.67/764.68
  6. Step 6: Final answer
    x = 416.80

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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.