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Finding the Fourth Proportional to 1,239.59, 1,855.74 and 827.71

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Solution

The fourth proportional to 1,239.59, 1,855.74 and 827.71 is: 1,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.59 : 1,855.74 = 827.71 : x
  2. Step 2: Convert to fraction form
    1,239.59/1,855.74 = 827.71/x
  3. Step 3: Cross multiply
    1,239.59x = 1,855.74 × 827.71
  4. Step 4: Simplify right side
    1,239.59x = 1,536,014.56
  5. Step 5: Solve for x
    x = 1,536,014.56/1,239.59
  6. Step 6: Final answer
    x = 1,239.13

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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.