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Finding the Fourth Proportional to 1,014.50, 1,523.44 and 938.73

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Solution

The fourth proportional to 1,014.50, 1,523.44 and 938.73 is: 1,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.50 : 1,523.44 = 938.73 : x
  2. Step 2: Convert to fraction form
    1,014.50/1,523.44 = 938.73/x
  3. Step 3: Cross multiply
    1,014.50x = 1,523.44 × 938.73
  4. Step 4: Simplify right side
    1,014.50x = 1,430,098.83
  5. Step 5: Solve for x
    x = 1,430,098.83/1,014.50
  6. Step 6: Final answer
    x = 1,409.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.