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Finding the Fourth Proportional to 786.86, 1,083.20 and 600.02

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Solution

The fourth proportional to 786.86, 1,083.20 and 600.02 is: 825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.86 : 1,083.20 = 600.02 : x
  2. Step 2: Convert to fraction form
    786.86/1,083.20 = 600.02/x
  3. Step 3: Cross multiply
    786.86x = 1,083.20 × 600.02
  4. Step 4: Simplify right side
    786.86x = 649,933.25
  5. Step 5: Solve for x
    x = 649,933.25/786.86
  6. Step 6: Final answer
    x = 825.99

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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.