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Finding the Fourth Proportional to 1,194.30, 1,790.16 and 463.56

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Solution

The fourth proportional to 1,194.30, 1,790.16 and 463.56 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.30 : 1,790.16 = 463.56 : x
  2. Step 2: Convert to fraction form
    1,194.30/1,790.16 = 463.56/x
  3. Step 3: Cross multiply
    1,194.30x = 1,790.16 × 463.56
  4. Step 4: Simplify right side
    1,194.30x = 829,846.57
  5. Step 5: Solve for x
    x = 829,846.57/1,194.30
  6. Step 6: Final answer
    x = 694.84

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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.