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Finding the Fourth Proportional to 826.34, 1,140.24 and 494.71

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Solution

The fourth proportional to 826.34, 1,140.24 and 494.71 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.34 : 1,140.24 = 494.71 : x
  2. Step 2: Convert to fraction form
    826.34/1,140.24 = 494.71/x
  3. Step 3: Cross multiply
    826.34x = 1,140.24 × 494.71
  4. Step 4: Simplify right side
    826.34x = 564,087.13
  5. Step 5: Solve for x
    x = 564,087.13/826.34
  6. Step 6: Final answer
    x = 682.64

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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.