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Finding the Fourth Proportional to 1,073.70, 1,610.58 and 380.27

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Solution

The fourth proportional to 1,073.70, 1,610.58 and 380.27 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.70 : 1,610.58 = 380.27 : x
  2. Step 2: Convert to fraction form
    1,073.70/1,610.58 = 380.27/x
  3. Step 3: Cross multiply
    1,073.70x = 1,610.58 × 380.27
  4. Step 4: Simplify right side
    1,073.70x = 612,455.26
  5. Step 5: Solve for x
    x = 612,455.26/1,073.70
  6. Step 6: Final answer
    x = 570.42

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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.