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Finding the Fourth Proportional to 764.21, 1,147.67 and 569.27

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Solution

The fourth proportional to 764.21, 1,147.67 and 569.27 is: 854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.21 : 1,147.67 = 569.27 : x
  2. Step 2: Convert to fraction form
    764.21/1,147.67 = 569.27/x
  3. Step 3: Cross multiply
    764.21x = 1,147.67 × 569.27
  4. Step 4: Simplify right side
    764.21x = 653,334.10
  5. Step 5: Solve for x
    x = 653,334.10/764.21
  6. Step 6: Final answer
    x = 854.91

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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.