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Finding the Fourth Proportional to 764.37, 1,146.86 and 456.39

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Solution

The fourth proportional to 764.37, 1,146.86 and 456.39 is: 684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.37 : 1,146.86 = 456.39 : x
  2. Step 2: Convert to fraction form
    764.37/1,146.86 = 456.39/x
  3. Step 3: Cross multiply
    764.37x = 1,146.86 × 456.39
  4. Step 4: Simplify right side
    764.37x = 523,413.15
  5. Step 5: Solve for x
    x = 523,413.15/764.37
  6. Step 6: Final answer
    x = 684.76

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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.