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Finding the Fourth Proportional to 1,633.70, 2,449.78 and 479.22

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Solution

The fourth proportional to 1,633.70, 2,449.78 and 479.22 is: 718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.70 : 2,449.78 = 479.22 : x
  2. Step 2: Convert to fraction form
    1,633.70/2,449.78 = 479.22/x
  3. Step 3: Cross multiply
    1,633.70x = 2,449.78 × 479.22
  4. Step 4: Simplify right side
    1,633.70x = 1,173,983.57
  5. Step 5: Solve for x
    x = 1,173,983.57/1,633.70
  6. Step 6: Final answer
    x = 718.60

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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.