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Finding the Fourth Proportional to 1,039.07, 1,558.49 and 371.90

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Solution

The fourth proportional to 1,039.07, 1,558.49 and 371.90 is: 557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.07 : 1,558.49 = 371.90 : x
  2. Step 2: Convert to fraction form
    1,039.07/1,558.49 = 371.90/x
  3. Step 3: Cross multiply
    1,039.07x = 1,558.49 × 371.90
  4. Step 4: Simplify right side
    1,039.07x = 579,604.47
  5. Step 5: Solve for x
    x = 579,604.47/1,039.07
  6. Step 6: Final answer
    x = 557.81

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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.