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Finding the Fourth Proportional to 1,086.86, 1,638.37 and 1,024.22

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Solution

The fourth proportional to 1,086.86, 1,638.37 and 1,024.22 is: 1,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.86 : 1,638.37 = 1,024.22 : x
  2. Step 2: Convert to fraction form
    1,086.86/1,638.37 = 1,024.22/x
  3. Step 3: Cross multiply
    1,086.86x = 1,638.37 × 1,024.22
  4. Step 4: Simplify right side
    1,086.86x = 1,678,046.20
  5. Step 5: Solve for x
    x = 1,678,046.20/1,086.86
  6. Step 6: Final answer
    x = 1,543.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.