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Finding the Fourth Proportional to 832.92, 1,250.31 and 486.66

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Solution

The fourth proportional to 832.92, 1,250.31 and 486.66 is: 730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.92 : 1,250.31 = 486.66 : x
  2. Step 2: Convert to fraction form
    832.92/1,250.31 = 486.66/x
  3. Step 3: Cross multiply
    832.92x = 1,250.31 × 486.66
  4. Step 4: Simplify right side
    832.92x = 608,475.86
  5. Step 5: Solve for x
    x = 608,475.86/832.92
  6. Step 6: Final answer
    x = 730.53

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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.