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Finding the Fourth Proportional to 905.81, 1,249.16 and 590.72

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Solution

The fourth proportional to 905.81, 1,249.16 and 590.72 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.81 : 1,249.16 = 590.72 : x
  2. Step 2: Convert to fraction form
    905.81/1,249.16 = 590.72/x
  3. Step 3: Cross multiply
    905.81x = 1,249.16 × 590.72
  4. Step 4: Simplify right side
    905.81x = 737,894.60
  5. Step 5: Solve for x
    x = 737,894.60/905.81
  6. Step 6: Final answer
    x = 814.63

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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.