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Finding the Fourth Proportional to 1,083.15, 1,624.73 and 433.89

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Solution

The fourth proportional to 1,083.15, 1,624.73 and 433.89 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.15 : 1,624.73 = 433.89 : x
  2. Step 2: Convert to fraction form
    1,083.15/1,624.73 = 433.89/x
  3. Step 3: Cross multiply
    1,083.15x = 1,624.73 × 433.89
  4. Step 4: Simplify right side
    1,083.15x = 704,951.93
  5. Step 5: Solve for x
    x = 704,951.93/1,083.15
  6. Step 6: Final answer
    x = 650.84

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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.