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Finding the Fourth Proportional to 999.22, 1,497.99 and 422.02

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Solution

The fourth proportional to 999.22, 1,497.99 and 422.02 is: 632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.22 : 1,497.99 = 422.02 : x
  2. Step 2: Convert to fraction form
    999.22/1,497.99 = 422.02/x
  3. Step 3: Cross multiply
    999.22x = 1,497.99 × 422.02
  4. Step 4: Simplify right side
    999.22x = 632,181.74
  5. Step 5: Solve for x
    x = 632,181.74/999.22
  6. Step 6: Final answer
    x = 632.68

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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.