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Finding the Fourth Proportional to 1,328.70, 1,993.06 and 743.36

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Solution

The fourth proportional to 1,328.70, 1,993.06 and 743.36 is: 1,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.70 : 1,993.06 = 743.36 : x
  2. Step 2: Convert to fraction form
    1,328.70/1,993.06 = 743.36/x
  3. Step 3: Cross multiply
    1,328.70x = 1,993.06 × 743.36
  4. Step 4: Simplify right side
    1,328.70x = 1,481,561.08
  5. Step 5: Solve for x
    x = 1,481,561.08/1,328.70
  6. Step 6: Final answer
    x = 1,115.05

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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.