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Finding the Fourth Proportional to 764.30, 1,147.17 and 399.35

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Solution

The fourth proportional to 764.30, 1,147.17 and 399.35 is: 599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.30 : 1,147.17 = 399.35 : x
  2. Step 2: Convert to fraction form
    764.30/1,147.17 = 399.35/x
  3. Step 3: Cross multiply
    764.30x = 1,147.17 × 399.35
  4. Step 4: Simplify right side
    764.30x = 458,122.34
  5. Step 5: Solve for x
    x = 458,122.34/764.30
  6. Step 6: Final answer
    x = 599.40

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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.