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Finding the Fourth Proportional to 905.81, 1,249.52 and 590.67

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Solution

The fourth proportional to 905.81, 1,249.52 and 590.67 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.81 : 1,249.52 = 590.67 : x
  2. Step 2: Convert to fraction form
    905.81/1,249.52 = 590.67/x
  3. Step 3: Cross multiply
    905.81x = 1,249.52 × 590.67
  4. Step 4: Simplify right side
    905.81x = 738,051.03
  5. Step 5: Solve for x
    x = 738,051.03/905.81
  6. Step 6: Final answer
    x = 814.80

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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.