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Finding the Fourth Proportional to 989.27, 1,365.19 and 541.14

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Solution

The fourth proportional to 989.27, 1,365.19 and 541.14 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.27 : 1,365.19 = 541.14 : x
  2. Step 2: Convert to fraction form
    989.27/1,365.19 = 541.14/x
  3. Step 3: Cross multiply
    989.27x = 1,365.19 × 541.14
  4. Step 4: Simplify right side
    989.27x = 738,763.17
  5. Step 5: Solve for x
    x = 738,763.17/989.27
  6. Step 6: Final answer
    x = 746.78

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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.