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Finding the Fourth Proportional to 906.83, 1,359.56 and 467.61

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Solution

The fourth proportional to 906.83, 1,359.56 and 467.61 is: 701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.83 : 1,359.56 = 467.61 : x
  2. Step 2: Convert to fraction form
    906.83/1,359.56 = 467.61/x
  3. Step 3: Cross multiply
    906.83x = 1,359.56 × 467.61
  4. Step 4: Simplify right side
    906.83x = 635,743.85
  5. Step 5: Solve for x
    x = 635,743.85/906.83
  6. Step 6: Final answer
    x = 701.06

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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.