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Finding the Fourth Proportional to 828.67, 1,141.68 and 641.51

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Solution

The fourth proportional to 828.67, 1,141.68 and 641.51 is: 883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.67 : 1,141.68 = 641.51 : x
  2. Step 2: Convert to fraction form
    828.67/1,141.68 = 641.51/x
  3. Step 3: Cross multiply
    828.67x = 1,141.68 × 641.51
  4. Step 4: Simplify right side
    828.67x = 732,399.14
  5. Step 5: Solve for x
    x = 732,399.14/828.67
  6. Step 6: Final answer
    x = 883.82

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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.