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Finding the Fourth Proportional to 826.14, 1,140.09 and 476.85

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Solution

The fourth proportional to 826.14, 1,140.09 and 476.85 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,140.09 = 476.85 : x
  2. Step 2: Convert to fraction form
    826.14/1,140.09 = 476.85/x
  3. Step 3: Cross multiply
    826.14x = 1,140.09 × 476.85
  4. Step 4: Simplify right side
    826.14x = 543,651.92
  5. Step 5: Solve for x
    x = 543,651.92/826.14
  6. Step 6: Final answer
    x = 658.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.