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Finding the Fourth Proportional to 825.93, 1,138.86 and 732.78

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Solution

The fourth proportional to 825.93, 1,138.86 and 732.78 is: 1,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.93 : 1,138.86 = 732.78 : x
  2. Step 2: Convert to fraction form
    825.93/1,138.86 = 732.78/x
  3. Step 3: Cross multiply
    825.93x = 1,138.86 × 732.78
  4. Step 4: Simplify right side
    825.93x = 834,533.83
  5. Step 5: Solve for x
    x = 834,533.83/825.93
  6. Step 6: Final answer
    x = 1,010.42

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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.