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Finding the Fourth Proportional to 826.73, 1,141.00 and 472.79

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Solution

The fourth proportional to 826.73, 1,141.00 and 472.79 is: 652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.73 : 1,141.00 = 472.79 : x
  2. Step 2: Convert to fraction form
    826.73/1,141.00 = 472.79/x
  3. Step 3: Cross multiply
    826.73x = 1,141.00 × 472.79
  4. Step 4: Simplify right side
    826.73x = 539,446.50
  5. Step 5: Solve for x
    x = 539,446.50/826.73
  6. Step 6: Final answer
    x = 652.51

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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.