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Finding the Fourth Proportional to 928.62, 1,391.72 and 830.54

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Solution

The fourth proportional to 928.62, 1,391.72 and 830.54 is: 1,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.62 : 1,391.72 = 830.54 : x
  2. Step 2: Convert to fraction form
    928.62/1,391.72 = 830.54/x
  3. Step 3: Cross multiply
    928.62x = 1,391.72 × 830.54
  4. Step 4: Simplify right side
    928.62x = 1,155,879.13
  5. Step 5: Solve for x
    x = 1,155,879.13/928.62
  6. Step 6: Final answer
    x = 1,244.73

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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.