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Finding the Fourth Proportional to 930.33, 1,394.04 and 519.57

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Solution

The fourth proportional to 930.33, 1,394.04 and 519.57 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.33 : 1,394.04 = 519.57 : x
  2. Step 2: Convert to fraction form
    930.33/1,394.04 = 519.57/x
  3. Step 3: Cross multiply
    930.33x = 1,394.04 × 519.57
  4. Step 4: Simplify right side
    930.33x = 724,301.36
  5. Step 5: Solve for x
    x = 724,301.36/930.33
  6. Step 6: Final answer
    x = 778.54

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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.