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Finding the Fourth Proportional to 826.61, 1,140.24 and 494.84

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Solution

The fourth proportional to 826.61, 1,140.24 and 494.84 is: 682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.24 = 494.84 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.24 = 494.84/x
  3. Step 3: Cross multiply
    826.61x = 1,140.24 × 494.84
  4. Step 4: Simplify right side
    826.61x = 564,241.07
  5. Step 5: Solve for x
    x = 564,241.07/826.61
  6. Step 6: Final answer
    x = 682.60

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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.