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Finding the Fourth Proportional to 1,584.56, 2,377.92 and 558.56

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Solution

The fourth proportional to 1,584.56, 2,377.92 and 558.56 is: 838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.56 : 2,377.92 = 558.56 : x
  2. Step 2: Convert to fraction form
    1,584.56/2,377.92 = 558.56/x
  3. Step 3: Cross multiply
    1,584.56x = 2,377.92 × 558.56
  4. Step 4: Simplify right side
    1,584.56x = 1,328,219.03
  5. Step 5: Solve for x
    x = 1,328,219.03/1,584.56
  6. Step 6: Final answer
    x = 838.22

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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.