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Finding the Fourth Proportional to 1,463.10, 2,192.78 and 641.16

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Solution

The fourth proportional to 1,463.10, 2,192.78 and 641.16 is: 960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.10 : 2,192.78 = 641.16 : x
  2. Step 2: Convert to fraction form
    1,463.10/2,192.78 = 641.16/x
  3. Step 3: Cross multiply
    1,463.10x = 2,192.78 × 641.16
  4. Step 4: Simplify right side
    1,463.10x = 1,405,922.82
  5. Step 5: Solve for x
    x = 1,405,922.82/1,463.10
  6. Step 6: Final answer
    x = 960.92

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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.