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Finding the Fourth Proportional to 1,363.91, 2,045.87 and 337.91

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Solution

The fourth proportional to 1,363.91, 2,045.87 and 337.91 is: 506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.91 : 2,045.87 = 337.91 : x
  2. Step 2: Convert to fraction form
    1,363.91/2,045.87 = 337.91/x
  3. Step 3: Cross multiply
    1,363.91x = 2,045.87 × 337.91
  4. Step 4: Simplify right side
    1,363.91x = 691,318.24
  5. Step 5: Solve for x
    x = 691,318.24/1,363.91
  6. Step 6: Final answer
    x = 506.87

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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.