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Finding the Fourth Proportional to 826.13, 1,140.16 and 494.74

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Solution

The fourth proportional to 826.13, 1,140.16 and 494.74 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,140.16 = 494.74 : x
  2. Step 2: Convert to fraction form
    826.13/1,140.16 = 494.74/x
  3. Step 3: Cross multiply
    826.13x = 1,140.16 × 494.74
  4. Step 4: Simplify right side
    826.13x = 564,082.76
  5. Step 5: Solve for x
    x = 564,082.76/826.13
  6. Step 6: Final answer
    x = 682.80

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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.