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Finding the Fourth Proportional to 1,392.86, 2,089.28 and 418.96

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Solution

The fourth proportional to 1,392.86, 2,089.28 and 418.96 is: 628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.86 : 2,089.28 = 418.96 : x
  2. Step 2: Convert to fraction form
    1,392.86/2,089.28 = 418.96/x
  3. Step 3: Cross multiply
    1,392.86x = 2,089.28 × 418.96
  4. Step 4: Simplify right side
    1,392.86x = 875,324.75
  5. Step 5: Solve for x
    x = 875,324.75/1,392.86
  6. Step 6: Final answer
    x = 628.44

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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.