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Finding the Fourth Proportional to 1,558.87, 2,338.32 and 734.80

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Solution

The fourth proportional to 1,558.87, 2,338.32 and 734.80 is: 1,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.87 : 2,338.32 = 734.80 : x
  2. Step 2: Convert to fraction form
    1,558.87/2,338.32 = 734.80/x
  3. Step 3: Cross multiply
    1,558.87x = 2,338.32 × 734.80
  4. Step 4: Simplify right side
    1,558.87x = 1,718,197.54
  5. Step 5: Solve for x
    x = 1,718,197.54/1,558.87
  6. Step 6: Final answer
    x = 1,102.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.