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Finding the Fourth Proportional to 1,364.23, 2,046.75 and 634.02

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Solution

The fourth proportional to 1,364.23, 2,046.75 and 634.02 is: 951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.23 : 2,046.75 = 634.02 : x
  2. Step 2: Convert to fraction form
    1,364.23/2,046.75 = 634.02/x
  3. Step 3: Cross multiply
    1,364.23x = 2,046.75 × 634.02
  4. Step 4: Simplify right side
    1,364.23x = 1,297,680.44
  5. Step 5: Solve for x
    x = 1,297,680.44/1,364.23
  6. Step 6: Final answer
    x = 951.22

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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.