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Finding the Fourth Proportional to 1,634.51, 2,451.30 and 464.42

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Solution

The fourth proportional to 1,634.51, 2,451.30 and 464.42 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.51 : 2,451.30 = 464.42 : x
  2. Step 2: Convert to fraction form
    1,634.51/2,451.30 = 464.42/x
  3. Step 3: Cross multiply
    1,634.51x = 2,451.30 × 464.42
  4. Step 4: Simplify right side
    1,634.51x = 1,138,420.49
  5. Step 5: Solve for x
    x = 1,138,420.49/1,634.51
  6. Step 6: Final answer
    x = 696.49

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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.