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Finding the Fourth Proportional to 1,633.32, 2,449.99 and 400.74

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Solution

The fourth proportional to 1,633.32, 2,449.99 and 400.74 is: 601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.32 : 2,449.99 = 400.74 : x
  2. Step 2: Convert to fraction form
    1,633.32/2,449.99 = 400.74/x
  3. Step 3: Cross multiply
    1,633.32x = 2,449.99 × 400.74
  4. Step 4: Simplify right side
    1,633.32x = 981,798.80
  5. Step 5: Solve for x
    x = 981,798.80/1,633.32
  6. Step 6: Final answer
    x = 601.10

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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.