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Finding the Fourth Proportional to 826.37, 1,140.39 and 453.35

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Solution

The fourth proportional to 826.37, 1,140.39 and 453.35 is: 625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.37 : 1,140.39 = 453.35 : x
  2. Step 2: Convert to fraction form
    826.37/1,140.39 = 453.35/x
  3. Step 3: Cross multiply
    826.37x = 1,140.39 × 453.35
  4. Step 4: Simplify right side
    826.37x = 516,995.81
  5. Step 5: Solve for x
    x = 516,995.81/826.37
  6. Step 6: Final answer
    x = 625.62

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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.