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Finding the Fourth Proportional to 1,083.95, 1,626.12 and 353.73

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Solution

The fourth proportional to 1,083.95, 1,626.12 and 353.73 is: 530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.95 : 1,626.12 = 353.73 : x
  2. Step 2: Convert to fraction form
    1,083.95/1,626.12 = 353.73/x
  3. Step 3: Cross multiply
    1,083.95x = 1,626.12 × 353.73
  4. Step 4: Simplify right side
    1,083.95x = 575,205.66
  5. Step 5: Solve for x
    x = 575,205.66/1,083.95
  6. Step 6: Final answer
    x = 530.66

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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.