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Finding the Fourth Proportional to 1,464.63, 2,196.97 and 684.41

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Solution

The fourth proportional to 1,464.63, 2,196.97 and 684.41 is: 1,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.63 : 2,196.97 = 684.41 : x
  2. Step 2: Convert to fraction form
    1,464.63/2,196.97 = 684.41/x
  3. Step 3: Cross multiply
    1,464.63x = 2,196.97 × 684.41
  4. Step 4: Simplify right side
    1,464.63x = 1,503,630.31
  5. Step 5: Solve for x
    x = 1,503,630.31/1,464.63
  6. Step 6: Final answer
    x = 1,026.63

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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.