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Finding the Fourth Proportional to 1,633.24, 2,449.86 and 479.26

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Solution

The fourth proportional to 1,633.24, 2,449.86 and 479.26 is: 718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.24 : 2,449.86 = 479.26 : x
  2. Step 2: Convert to fraction form
    1,633.24/2,449.86 = 479.26/x
  3. Step 3: Cross multiply
    1,633.24x = 2,449.86 × 479.26
  4. Step 4: Simplify right side
    1,633.24x = 1,174,119.90
  5. Step 5: Solve for x
    x = 1,174,119.90/1,633.24
  6. Step 6: Final answer
    x = 718.89

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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.