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Finding the Fourth Proportional to 983.20, 1,356.78 and 541.10

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Solution

The fourth proportional to 983.20, 1,356.78 and 541.10 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.20 : 1,356.78 = 541.10 : x
  2. Step 2: Convert to fraction form
    983.20/1,356.78 = 541.10/x
  3. Step 3: Cross multiply
    983.20x = 1,356.78 × 541.10
  4. Step 4: Simplify right side
    983.20x = 734,153.66
  5. Step 5: Solve for x
    x = 734,153.66/983.20
  6. Step 6: Final answer
    x = 746.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.