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Finding the Fourth Proportional to 905.93, 1,249.53 and 590.61

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Solution

The fourth proportional to 905.93, 1,249.53 and 590.61 is: 814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.93 : 1,249.53 = 590.61 : x
  2. Step 2: Convert to fraction form
    905.93/1,249.53 = 590.61/x
  3. Step 3: Cross multiply
    905.93x = 1,249.53 × 590.61
  4. Step 4: Simplify right side
    905.93x = 737,984.91
  5. Step 5: Solve for x
    x = 737,984.91/905.93
  6. Step 6: Final answer
    x = 814.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.