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Finding the Fourth Proportional to 982.86, 1,356.34 and 540.76

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Solution

The fourth proportional to 982.86, 1,356.34 and 540.76 is: 746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,356.34 = 540.76 : x
  2. Step 2: Convert to fraction form
    982.86/1,356.34 = 540.76/x
  3. Step 3: Cross multiply
    982.86x = 1,356.34 × 540.76
  4. Step 4: Simplify right side
    982.86x = 733,444.93
  5. Step 5: Solve for x
    x = 733,444.93/982.86
  6. Step 6: Final answer
    x = 746.24

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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.