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Finding the Fourth Proportional to 982.15, 1,355.36 and 540.08

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Solution

The fourth proportional to 982.15, 1,355.36 and 540.08 is: 745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.15 : 1,355.36 = 540.08 : x
  2. Step 2: Convert to fraction form
    982.15/1,355.36 = 540.08/x
  3. Step 3: Cross multiply
    982.15x = 1,355.36 × 540.08
  4. Step 4: Simplify right side
    982.15x = 732,002.83
  5. Step 5: Solve for x
    x = 732,002.83/982.15
  6. Step 6: Final answer
    x = 745.31

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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.