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Finding the Fourth Proportional to 920.34, 1,379.26 and 392.82

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Solution

The fourth proportional to 920.34, 1,379.26 and 392.82 is: 588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.34 : 1,379.26 = 392.82 : x
  2. Step 2: Convert to fraction form
    920.34/1,379.26 = 392.82/x
  3. Step 3: Cross multiply
    920.34x = 1,379.26 × 392.82
  4. Step 4: Simplify right side
    920.34x = 541,800.91
  5. Step 5: Solve for x
    x = 541,800.91/920.34
  6. Step 6: Final answer
    x = 588.70

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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.