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Finding the Fourth Proportional to 1,083.09, 1,624.38 and 467.09

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Solution

The fourth proportional to 1,083.09, 1,624.38 and 467.09 is: 700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.09 : 1,624.38 = 467.09 : x
  2. Step 2: Convert to fraction form
    1,083.09/1,624.38 = 467.09/x
  3. Step 3: Cross multiply
    1,083.09x = 1,624.38 × 467.09
  4. Step 4: Simplify right side
    1,083.09x = 758,723.53
  5. Step 5: Solve for x
    x = 758,723.53/1,083.09
  6. Step 6: Final answer
    x = 700.52

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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.