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Finding the Fourth Proportional to 983.50, 1,357.10 and 541.33

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Solution

The fourth proportional to 983.50, 1,357.10 and 541.33 is: 746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.50 : 1,357.10 = 541.33 : x
  2. Step 2: Convert to fraction form
    983.50/1,357.10 = 541.33/x
  3. Step 3: Cross multiply
    983.50x = 1,357.10 × 541.33
  4. Step 4: Simplify right side
    983.50x = 734,636.24
  5. Step 5: Solve for x
    x = 734,636.24/983.50
  6. Step 6: Final answer
    x = 746.96

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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.