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Finding the Fourth Proportional to 826.68, 1,140.48 and 495.03

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Solution

The fourth proportional to 826.68, 1,140.48 and 495.03 is: 682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.68 : 1,140.48 = 495.03 : x
  2. Step 2: Convert to fraction form
    826.68/1,140.48 = 495.03/x
  3. Step 3: Cross multiply
    826.68x = 1,140.48 × 495.03
  4. Step 4: Simplify right side
    826.68x = 564,571.81
  5. Step 5: Solve for x
    x = 564,571.81/826.68
  6. Step 6: Final answer
    x = 682.94

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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.