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Finding the Fourth Proportional to 826.96, 1,141 and 512.08

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Solution

The fourth proportional to 826.96, 1,141 and 512.08 is: 706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.96 : 1,141 = 512.08 : x
  2. Step 2: Convert to fraction form
    826.96/1,141 = 512.08/x
  3. Step 3: Cross multiply
    826.96x = 1,141 × 512.08
  4. Step 4: Simplify right side
    826.96x = 584,283.28
  5. Step 5: Solve for x
    x = 584,283.28/826.96
  6. Step 6: Final answer
    x = 706.54

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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.