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Finding the Fourth Proportional to 826.12, 1,140.12 and 453.17

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Solution

The fourth proportional to 826.12, 1,140.12 and 453.17 is: 625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.12 : 1,140.12 = 453.17 : x
  2. Step 2: Convert to fraction form
    826.12/1,140.12 = 453.17/x
  3. Step 3: Cross multiply
    826.12x = 1,140.12 × 453.17
  4. Step 4: Simplify right side
    826.12x = 516,671.94
  5. Step 5: Solve for x
    x = 516,671.94/826.12
  6. Step 6: Final answer
    x = 625.42

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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.