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Finding the Fourth Proportional to 826.19, 1,140.14 and 476.88

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Solution

The fourth proportional to 826.19, 1,140.14 and 476.88 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.19 : 1,140.14 = 476.88 : x
  2. Step 2: Convert to fraction form
    826.19/1,140.14 = 476.88/x
  3. Step 3: Cross multiply
    826.19x = 1,140.14 × 476.88
  4. Step 4: Simplify right side
    826.19x = 543,709.96
  5. Step 5: Solve for x
    x = 543,709.96/826.19
  6. Step 6: Final answer
    x = 658.09

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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.