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Finding the Fourth Proportional to 1,021.67, 1,410.71 and 724.12

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Solution

The fourth proportional to 1,021.67, 1,410.71 and 724.12 is: 999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.67 : 1,410.71 = 724.12 : x
  2. Step 2: Convert to fraction form
    1,021.67/1,410.71 = 724.12/x
  3. Step 3: Cross multiply
    1,021.67x = 1,410.71 × 724.12
  4. Step 4: Simplify right side
    1,021.67x = 1,021,523.33
  5. Step 5: Solve for x
    x = 1,021,523.33/1,021.67
  6. Step 6: Final answer
    x = 999.86

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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.