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Finding the Fourth Proportional to 1,193.76, 1,643.81 and 996.93

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Solution

The fourth proportional to 1,193.76, 1,643.81 and 996.93 is: 1,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.76 : 1,643.81 = 996.93 : x
  2. Step 2: Convert to fraction form
    1,193.76/1,643.81 = 996.93/x
  3. Step 3: Cross multiply
    1,193.76x = 1,643.81 × 996.93
  4. Step 4: Simplify right side
    1,193.76x = 1,638,758.52
  5. Step 5: Solve for x
    x = 1,638,758.52/1,193.76
  6. Step 6: Final answer
    x = 1,372.77

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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.