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Finding the Fourth Proportional to 764.76, 1,147.24 and 278.04

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Solution

The fourth proportional to 764.76, 1,147.24 and 278.04 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,147.24 = 278.04 : x
  2. Step 2: Convert to fraction form
    764.76/1,147.24 = 278.04/x
  3. Step 3: Cross multiply
    764.76x = 1,147.24 × 278.04
  4. Step 4: Simplify right side
    764.76x = 318,978.61
  5. Step 5: Solve for x
    x = 318,978.61/764.76
  6. Step 6: Final answer
    x = 417.10

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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.