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Finding the Fourth Proportional to 1,558.41, 2,335.84 and 680.78

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Solution

The fourth proportional to 1,558.41, 2,335.84 and 680.78 is: 1,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.41 : 2,335.84 = 680.78 : x
  2. Step 2: Convert to fraction form
    1,558.41/2,335.84 = 680.78/x
  3. Step 3: Cross multiply
    1,558.41x = 2,335.84 × 680.78
  4. Step 4: Simplify right side
    1,558.41x = 1,590,190.72
  5. Step 5: Solve for x
    x = 1,590,190.72/1,558.41
  6. Step 6: Final answer
    x = 1,020.39

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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.