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Finding the Fourth Proportional to 764.15, 1,147.76 and 456.60

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Solution

The fourth proportional to 764.15, 1,147.76 and 456.60 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.15 : 1,147.76 = 456.60 : x
  2. Step 2: Convert to fraction form
    764.15/1,147.76 = 456.60/x
  3. Step 3: Cross multiply
    764.15x = 1,147.76 × 456.60
  4. Step 4: Simplify right side
    764.15x = 524,070.95
  5. Step 5: Solve for x
    x = 524,070.95/764.15
  6. Step 6: Final answer
    x = 685.83

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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.