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Finding the Fourth Proportional to 930.42, 1,394.71 and 519.90

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Solution

The fourth proportional to 930.42, 1,394.71 and 519.90 is: 779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,394.71 = 519.90 : x
  2. Step 2: Convert to fraction form
    930.42/1,394.71 = 519.90/x
  3. Step 3: Cross multiply
    930.42x = 1,394.71 × 519.90
  4. Step 4: Simplify right side
    930.42x = 725,109.73
  5. Step 5: Solve for x
    x = 725,109.73/930.42
  6. Step 6: Final answer
    x = 779.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.