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Finding the Fourth Proportional to 983.20, 1,356.82 and 541.14

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Solution

The fourth proportional to 983.20, 1,356.82 and 541.14 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.20 : 1,356.82 = 541.14 : x
  2. Step 2: Convert to fraction form
    983.20/1,356.82 = 541.14/x
  3. Step 3: Cross multiply
    983.20x = 1,356.82 × 541.14
  4. Step 4: Simplify right side
    983.20x = 734,220.09
  5. Step 5: Solve for x
    x = 734,220.09/983.20
  6. Step 6: Final answer
    x = 746.77

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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.