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Finding the Fourth Proportional to 827.40, 1,238.40 and 584.40

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Solution

The fourth proportional to 827.40, 1,238.40 and 584.40 is: 874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.40 : 1,238.40 = 584.40 : x
  2. Step 2: Convert to fraction form
    827.40/1,238.40 = 584.40/x
  3. Step 3: Cross multiply
    827.40x = 1,238.40 × 584.40
  4. Step 4: Simplify right side
    827.40x = 723,720.96
  5. Step 5: Solve for x
    x = 723,720.96/827.40
  6. Step 6: Final answer
    x = 874.69

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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.