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Finding the Fourth Proportional to 786.24, 1,083.78 and 599.13

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Solution

The fourth proportional to 786.24, 1,083.78 and 599.13 is: 825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.24 : 1,083.78 = 599.13 : x
  2. Step 2: Convert to fraction form
    786.24/1,083.78 = 599.13/x
  3. Step 3: Cross multiply
    786.24x = 1,083.78 × 599.13
  4. Step 4: Simplify right side
    786.24x = 649,325.11
  5. Step 5: Solve for x
    x = 649,325.11/786.24
  6. Step 6: Final answer
    x = 825.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.