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Finding the Fourth Proportional to 1,465.44, 2,198.70 and 492

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Solution

The fourth proportional to 1,465.44, 2,198.70 and 492 is: 738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.44 : 2,198.70 = 492 : x
  2. Step 2: Convert to fraction form
    1,465.44/2,198.70 = 492/x
  3. Step 3: Cross multiply
    1,465.44x = 2,198.70 × 492
  4. Step 4: Simplify right side
    1,465.44x = 1,081,760.40
  5. Step 5: Solve for x
    x = 1,081,760.40/1,465.44
  6. Step 6: Final answer
    x = 738.18

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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.