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Finding the Fourth Proportional to 764.73, 1,147.14 and 549.72

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Solution

The fourth proportional to 764.73, 1,147.14 and 549.72 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.73 : 1,147.14 = 549.72 : x
  2. Step 2: Convert to fraction form
    764.73/1,147.14 = 549.72/x
  3. Step 3: Cross multiply
    764.73x = 1,147.14 × 549.72
  4. Step 4: Simplify right side
    764.73x = 630,605.80
  5. Step 5: Solve for x
    x = 630,605.80/764.73
  6. Step 6: Final answer
    x = 824.61

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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.