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Finding the Fourth Proportional to 982.62, 1,356.01 and 540.54

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Solution

The fourth proportional to 982.62, 1,356.01 and 540.54 is: 745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,356.01 = 540.54 : x
  2. Step 2: Convert to fraction form
    982.62/1,356.01 = 540.54/x
  3. Step 3: Cross multiply
    982.62x = 1,356.01 × 540.54
  4. Step 4: Simplify right side
    982.62x = 732,977.65
  5. Step 5: Solve for x
    x = 732,977.65/982.62
  6. Step 6: Final answer
    x = 745.94

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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.