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Finding the Fourth Proportional to 1,193.87, 1,790.81 and 462.98

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Solution

The fourth proportional to 1,193.87, 1,790.81 and 462.98 is: 694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.87 : 1,790.81 = 462.98 : x
  2. Step 2: Convert to fraction form
    1,193.87/1,790.81 = 462.98/x
  3. Step 3: Cross multiply
    1,193.87x = 1,790.81 × 462.98
  4. Step 4: Simplify right side
    1,193.87x = 829,109.21
  5. Step 5: Solve for x
    x = 829,109.21/1,193.87
  6. Step 6: Final answer
    x = 694.47

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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.