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Finding the Fourth Proportional to 939.63, 1,410.34 and 391.66

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Solution

The fourth proportional to 939.63, 1,410.34 and 391.66 is: 587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.63 : 1,410.34 = 391.66 : x
  2. Step 2: Convert to fraction form
    939.63/1,410.34 = 391.66/x
  3. Step 3: Cross multiply
    939.63x = 1,410.34 × 391.66
  4. Step 4: Simplify right side
    939.63x = 552,372.79
  5. Step 5: Solve for x
    x = 552,372.79/939.63
  6. Step 6: Final answer
    x = 587.87

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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.