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Finding the Fourth Proportional to 1,193.94, 1,645.74 and 941.46

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Solution

The fourth proportional to 1,193.94, 1,645.74 and 941.46 is: 1,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.94 : 1,645.74 = 941.46 : x
  2. Step 2: Convert to fraction form
    1,193.94/1,645.74 = 941.46/x
  3. Step 3: Cross multiply
    1,193.94x = 1,645.74 × 941.46
  4. Step 4: Simplify right side
    1,193.94x = 1,549,392.21
  5. Step 5: Solve for x
    x = 1,549,392.21/1,193.94
  6. Step 6: Final answer
    x = 1,297.71

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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.