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Finding the Fourth Proportional to 1,039.62, 1,559.42 and 299.30

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Solution

The fourth proportional to 1,039.62, 1,559.42 and 299.30 is: 448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.62 : 1,559.42 = 299.30 : x
  2. Step 2: Convert to fraction form
    1,039.62/1,559.42 = 299.30/x
  3. Step 3: Cross multiply
    1,039.62x = 1,559.42 × 299.30
  4. Step 4: Simplify right side
    1,039.62x = 466,732.08
  5. Step 5: Solve for x
    x = 466,732.08/1,039.62
  6. Step 6: Final answer
    x = 448.95

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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.