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Finding the Fourth Proportional to 1,463, 2,195.04 and 693.56

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Solution

The fourth proportional to 1,463, 2,195.04 and 693.56 is: 1,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463 : 2,195.04 = 693.56 : x
  2. Step 2: Convert to fraction form
    1,463/2,195.04 = 693.56/x
  3. Step 3: Cross multiply
    1,463x = 2,195.04 × 693.56
  4. Step 4: Simplify right side
    1,463x = 1,522,391.94
  5. Step 5: Solve for x
    x = 1,522,391.94/1,463
  6. Step 6: Final answer
    x = 1,040.60

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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.