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Finding the Fourth Proportional to 983.14, 1,356.77 and 541.08

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Solution

The fourth proportional to 983.14, 1,356.77 and 541.08 is: 746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.14 : 1,356.77 = 541.08 : x
  2. Step 2: Convert to fraction form
    983.14/1,356.77 = 541.08/x
  3. Step 3: Cross multiply
    983.14x = 1,356.77 × 541.08
  4. Step 4: Simplify right side
    983.14x = 734,118.41
  5. Step 5: Solve for x
    x = 734,118.41/983.14
  6. Step 6: Final answer
    x = 746.71

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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.