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Finding the Fourth Proportional to 1,083.11, 1,624.73 and 433.76

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Solution

The fourth proportional to 1,083.11, 1,624.73 and 433.76 is: 650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.11 : 1,624.73 = 433.76 : x
  2. Step 2: Convert to fraction form
    1,083.11/1,624.73 = 433.76/x
  3. Step 3: Cross multiply
    1,083.11x = 1,624.73 × 433.76
  4. Step 4: Simplify right side
    1,083.11x = 704,732.59
  5. Step 5: Solve for x
    x = 704,732.59/1,083.11
  6. Step 6: Final answer
    x = 650.66

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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.