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Finding the Fourth Proportional to 1,455.52, 2,183.49 and 589.78

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Solution

The fourth proportional to 1,455.52, 2,183.49 and 589.78 is: 884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.52 : 2,183.49 = 589.78 : x
  2. Step 2: Convert to fraction form
    1,455.52/2,183.49 = 589.78/x
  3. Step 3: Cross multiply
    1,455.52x = 2,183.49 × 589.78
  4. Step 4: Simplify right side
    1,455.52x = 1,287,778.73
  5. Step 5: Solve for x
    x = 1,287,778.73/1,455.52
  6. Step 6: Final answer
    x = 884.76

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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.