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Finding the Fourth Proportional to 928, 1,391.08 and 440.19

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Solution

The fourth proportional to 928, 1,391.08 and 440.19 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    928 : 1,391.08 = 440.19 : x
  2. Step 2: Convert to fraction form
    928/1,391.08 = 440.19/x
  3. Step 3: Cross multiply
    928x = 1,391.08 × 440.19
  4. Step 4: Simplify right side
    928x = 612,339.51
  5. Step 5: Solve for x
    x = 612,339.51/928
  6. Step 6: Final answer
    x = 659.85

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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.