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Finding the Fourth Proportional to 834.19, 1,249.91 and 589.52

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Solution

The fourth proportional to 834.19, 1,249.91 and 589.52 is: 883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,249.91 = 589.52 : x
  2. Step 2: Convert to fraction form
    834.19/1,249.91 = 589.52/x
  3. Step 3: Cross multiply
    834.19x = 1,249.91 × 589.52
  4. Step 4: Simplify right side
    834.19x = 736,846.94
  5. Step 5: Solve for x
    x = 736,846.94/834.19
  6. Step 6: Final answer
    x = 883.31

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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.