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Finding the Fourth Proportional to 1,193.97, 1,790.58 and 463.35

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Solution

The fourth proportional to 1,193.97, 1,790.58 and 463.35 is: 694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.97 : 1,790.58 = 463.35 : x
  2. Step 2: Convert to fraction form
    1,193.97/1,790.58 = 463.35/x
  3. Step 3: Cross multiply
    1,193.97x = 1,790.58 × 463.35
  4. Step 4: Simplify right side
    1,193.97x = 829,665.24
  5. Step 5: Solve for x
    x = 829,665.24/1,193.97
  6. Step 6: Final answer
    x = 694.88

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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.