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Finding the Fourth Proportional to 983.57, 1,357.31 and 541.47

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Solution

The fourth proportional to 983.57, 1,357.31 and 541.47 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.57 : 1,357.31 = 541.47 : x
  2. Step 2: Convert to fraction form
    983.57/1,357.31 = 541.47/x
  3. Step 3: Cross multiply
    983.57x = 1,357.31 × 541.47
  4. Step 4: Simplify right side
    983.57x = 734,944.00
  5. Step 5: Solve for x
    x = 734,944.00/983.57
  6. Step 6: Final answer
    x = 747.22

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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.