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Finding the Fourth Proportional to 1,294.08, 1,939.92 and 514.58

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Solution

The fourth proportional to 1,294.08, 1,939.92 and 514.58 is: 771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.08 : 1,939.92 = 514.58 : x
  2. Step 2: Convert to fraction form
    1,294.08/1,939.92 = 514.58/x
  3. Step 3: Cross multiply
    1,294.08x = 1,939.92 × 514.58
  4. Step 4: Simplify right side
    1,294.08x = 998,244.03
  5. Step 5: Solve for x
    x = 998,244.03/1,294.08
  6. Step 6: Final answer
    x = 771.39

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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.