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Finding the Fourth Proportional to 1,217.36, 1,826.02 and 826.39

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Solution

The fourth proportional to 1,217.36, 1,826.02 and 826.39 is: 1,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.36 : 1,826.02 = 826.39 : x
  2. Step 2: Convert to fraction form
    1,217.36/1,826.02 = 826.39/x
  3. Step 3: Cross multiply
    1,217.36x = 1,826.02 × 826.39
  4. Step 4: Simplify right side
    1,217.36x = 1,509,004.67
  5. Step 5: Solve for x
    x = 1,509,004.67/1,217.36
  6. Step 6: Final answer
    x = 1,239.57

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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.