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Finding the Fourth Proportional to 826.66, 1,240.91 and 415.69

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Solution

The fourth proportional to 826.66, 1,240.91 and 415.69 is: 623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.66 : 1,240.91 = 415.69 : x
  2. Step 2: Convert to fraction form
    826.66/1,240.91 = 415.69/x
  3. Step 3: Cross multiply
    826.66x = 1,240.91 × 415.69
  4. Step 4: Simplify right side
    826.66x = 515,830.25
  5. Step 5: Solve for x
    x = 515,830.25/826.66
  6. Step 6: Final answer
    x = 623.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.