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Finding the Fourth Proportional to 930.93, 1,396.43 and 519.75

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Solution

The fourth proportional to 930.93, 1,396.43 and 519.75 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.93 : 1,396.43 = 519.75 : x
  2. Step 2: Convert to fraction form
    930.93/1,396.43 = 519.75/x
  3. Step 3: Cross multiply
    930.93x = 1,396.43 × 519.75
  4. Step 4: Simplify right side
    930.93x = 725,794.49
  5. Step 5: Solve for x
    x = 725,794.49/930.93
  6. Step 6: Final answer
    x = 779.64

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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.