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Finding the Fourth Proportional to 826.52, 1,240.22 and 415.65

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Solution

The fourth proportional to 826.52, 1,240.22 and 415.65 is: 623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.52 : 1,240.22 = 415.65 : x
  2. Step 2: Convert to fraction form
    826.52/1,240.22 = 415.65/x
  3. Step 3: Cross multiply
    826.52x = 1,240.22 × 415.65
  4. Step 4: Simplify right side
    826.52x = 515,495.36
  5. Step 5: Solve for x
    x = 515,495.36/826.52
  6. Step 6: Final answer
    x = 623.70

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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.