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Finding the Fourth Proportional to 1,463.84, 2,195.81 and 641.70

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Solution

The fourth proportional to 1,463.84, 2,195.81 and 641.70 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.84 : 2,195.81 = 641.70 : x
  2. Step 2: Convert to fraction form
    1,463.84/2,195.81 = 641.70/x
  3. Step 3: Cross multiply
    1,463.84x = 2,195.81 × 641.70
  4. Step 4: Simplify right side
    1,463.84x = 1,409,051.28
  5. Step 5: Solve for x
    x = 1,409,051.28/1,463.84
  6. Step 6: Final answer
    x = 962.57

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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.