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Finding the Fourth Proportional to 1,463.64, 2,195.76 and 641.76

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Solution

The fourth proportional to 1,463.64, 2,195.76 and 641.76 is: 962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.64 : 2,195.76 = 641.76 : x
  2. Step 2: Convert to fraction form
    1,463.64/2,195.76 = 641.76/x
  3. Step 3: Cross multiply
    1,463.64x = 2,195.76 × 641.76
  4. Step 4: Simplify right side
    1,463.64x = 1,409,150.94
  5. Step 5: Solve for x
    x = 1,409,150.94/1,463.64
  6. Step 6: Final answer
    x = 962.77

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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.