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Finding the Fourth Proportional to 1,193.64, 1,647.44 and 745.71

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Solution

The fourth proportional to 1,193.64, 1,647.44 and 745.71 is: 1,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.64 : 1,647.44 = 745.71 : x
  2. Step 2: Convert to fraction form
    1,193.64/1,647.44 = 745.71/x
  3. Step 3: Cross multiply
    1,193.64x = 1,647.44 × 745.71
  4. Step 4: Simplify right side
    1,193.64x = 1,228,505.37
  5. Step 5: Solve for x
    x = 1,228,505.37/1,193.64
  6. Step 6: Final answer
    x = 1,029.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.