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Finding the Fourth Proportional to 989.44, 1,365.41 and 541.30

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Solution

The fourth proportional to 989.44, 1,365.41 and 541.30 is: 746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.44 : 1,365.41 = 541.30 : x
  2. Step 2: Convert to fraction form
    989.44/1,365.41 = 541.30/x
  3. Step 3: Cross multiply
    989.44x = 1,365.41 × 541.30
  4. Step 4: Simplify right side
    989.44x = 739,096.43
  5. Step 5: Solve for x
    x = 739,096.43/989.44
  6. Step 6: Final answer
    x = 746.98

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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.