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Finding the Fourth Proportional to 832.73, 1,249.16 and 778.73

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Solution

The fourth proportional to 832.73, 1,249.16 and 778.73 is: 1,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.73 : 1,249.16 = 778.73 : x
  2. Step 2: Convert to fraction form
    832.73/1,249.16 = 778.73/x
  3. Step 3: Cross multiply
    832.73x = 1,249.16 × 778.73
  4. Step 4: Simplify right side
    832.73x = 972,748.23
  5. Step 5: Solve for x
    x = 972,748.23/832.73
  6. Step 6: Final answer
    x = 1,168.15

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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.