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Finding the Fourth Proportional to 928.35, 1,391.33 and 830.31

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Solution

The fourth proportional to 928.35, 1,391.33 and 830.31 is: 1,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.35 : 1,391.33 = 830.31 : x
  2. Step 2: Convert to fraction form
    928.35/1,391.33 = 830.31/x
  3. Step 3: Cross multiply
    928.35x = 1,391.33 × 830.31
  4. Step 4: Simplify right side
    928.35x = 1,155,231.06
  5. Step 5: Solve for x
    x = 1,155,231.06/928.35
  6. Step 6: Final answer
    x = 1,244.39

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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.