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Finding the Fourth Proportional to 1,633.05, 2,449.46 and 463.07

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Solution

The fourth proportional to 1,633.05, 2,449.46 and 463.07 is: 694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.05 : 2,449.46 = 463.07 : x
  2. Step 2: Convert to fraction form
    1,633.05/2,449.46 = 463.07/x
  3. Step 3: Cross multiply
    1,633.05x = 2,449.46 × 463.07
  4. Step 4: Simplify right side
    1,633.05x = 1,134,278.72
  5. Step 5: Solve for x
    x = 1,134,278.72/1,633.05
  6. Step 6: Final answer
    x = 694.58

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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.