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Finding the Fourth Proportional to 826.34, 1,140.31 and 453.31

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Solution

The fourth proportional to 826.34, 1,140.31 and 453.31 is: 625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.34 : 1,140.31 = 453.31 : x
  2. Step 2: Convert to fraction form
    826.34/1,140.31 = 453.31/x
  3. Step 3: Cross multiply
    826.34x = 1,140.31 × 453.31
  4. Step 4: Simplify right side
    826.34x = 516,918.14
  5. Step 5: Solve for x
    x = 516,918.14/826.34
  6. Step 6: Final answer
    x = 625.55

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