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Finding the Fourth Proportional to 1,292.80, 1,939.44 and 415.44

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Solution

The fourth proportional to 1,292.80, 1,939.44 and 415.44 is: 623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.80 : 1,939.44 = 415.44 : x
  2. Step 2: Convert to fraction form
    1,292.80/1,939.44 = 415.44/x
  3. Step 3: Cross multiply
    1,292.80x = 1,939.44 × 415.44
  4. Step 4: Simplify right side
    1,292.80x = 805,720.95
  5. Step 5: Solve for x
    x = 805,720.95/1,292.80
  6. Step 6: Final answer
    x = 623.24

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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.