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Finding the Fourth Proportional to 1,083.47, 1,625.07 and 380.67

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Solution

The fourth proportional to 1,083.47, 1,625.07 and 380.67 is: 570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.47 : 1,625.07 = 380.67 : x
  2. Step 2: Convert to fraction form
    1,083.47/1,625.07 = 380.67/x
  3. Step 3: Cross multiply
    1,083.47x = 1,625.07 × 380.67
  4. Step 4: Simplify right side
    1,083.47x = 618,610.73
  5. Step 5: Solve for x
    x = 618,610.73/1,083.47
  6. Step 6: Final answer
    x = 570.96

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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.