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Finding the Fourth Proportional to 1,073.50, 1,610.27 and 380.41

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Solution

The fourth proportional to 1,073.50, 1,610.27 and 380.41 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.50 : 1,610.27 = 380.41 : x
  2. Step 2: Convert to fraction form
    1,073.50/1,610.27 = 380.41/x
  3. Step 3: Cross multiply
    1,073.50x = 1,610.27 × 380.41
  4. Step 4: Simplify right side
    1,073.50x = 612,562.81
  5. Step 5: Solve for x
    x = 612,562.81/1,073.50
  6. Step 6: Final answer
    x = 570.62

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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.