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Finding the Fourth Proportional to 905.42, 1,249.50 and 590.84

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Solution

The fourth proportional to 905.42, 1,249.50 and 590.84 is: 815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.42 : 1,249.50 = 590.84 : x
  2. Step 2: Convert to fraction form
    905.42/1,249.50 = 590.84/x
  3. Step 3: Cross multiply
    905.42x = 1,249.50 × 590.84
  4. Step 4: Simplify right side
    905.42x = 738,254.58
  5. Step 5: Solve for x
    x = 738,254.58/905.42
  6. Step 6: Final answer
    x = 815.37

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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.