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Finding the Fourth Proportional to 1,039.91, 1,558.53 and 454.21

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Solution

The fourth proportional to 1,039.91, 1,558.53 and 454.21 is: 680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.91 : 1,558.53 = 454.21 : x
  2. Step 2: Convert to fraction form
    1,039.91/1,558.53 = 454.21/x
  3. Step 3: Cross multiply
    1,039.91x = 1,558.53 × 454.21
  4. Step 4: Simplify right side
    1,039.91x = 707,896.01
  5. Step 5: Solve for x
    x = 707,896.01/1,039.91
  6. Step 6: Final answer
    x = 680.73

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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.