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Finding the Fourth Proportional to 943.87, 1,415.98 and 423.86

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Solution

The fourth proportional to 943.87, 1,415.98 and 423.86 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.87 : 1,415.98 = 423.86 : x
  2. Step 2: Convert to fraction form
    943.87/1,415.98 = 423.86/x
  3. Step 3: Cross multiply
    943.87x = 1,415.98 × 423.86
  4. Step 4: Simplify right side
    943.87x = 600,174.72
  5. Step 5: Solve for x
    x = 600,174.72/943.87
  6. Step 6: Final answer
    x = 635.87

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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.