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Finding the Fourth Proportional to 826.61, 1,140.90 and 495.11

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Solution

The fourth proportional to 826.61, 1,140.90 and 495.11 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.90 = 495.11 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.90 = 495.11/x
  3. Step 3: Cross multiply
    826.61x = 1,140.90 × 495.11
  4. Step 4: Simplify right side
    826.61x = 564,871.00
  5. Step 5: Solve for x
    x = 564,871.00/826.61
  6. Step 6: Final answer
    x = 683.36

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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.