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Finding the Fourth Proportional to 1,083.82, 1,625.62 and 303.89

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Solution

The fourth proportional to 1,083.82, 1,625.62 and 303.89 is: 455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.82 : 1,625.62 = 303.89 : x
  2. Step 2: Convert to fraction form
    1,083.82/1,625.62 = 303.89/x
  3. Step 3: Cross multiply
    1,083.82x = 1,625.62 × 303.89
  4. Step 4: Simplify right side
    1,083.82x = 494,001.53
  5. Step 5: Solve for x
    x = 494,001.53/1,083.82
  6. Step 6: Final answer
    x = 455.80

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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.