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Finding the Fourth Proportional to 1,039.24, 1,558.59 and 308.62

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Solution

The fourth proportional to 1,039.24, 1,558.59 and 308.62 is: 462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.24 : 1,558.59 = 308.62 : x
  2. Step 2: Convert to fraction form
    1,039.24/1,558.59 = 308.62/x
  3. Step 3: Cross multiply
    1,039.24x = 1,558.59 × 308.62
  4. Step 4: Simplify right side
    1,039.24x = 481,012.05
  5. Step 5: Solve for x
    x = 481,012.05/1,039.24
  6. Step 6: Final answer
    x = 462.85

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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.