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Finding the Fourth Proportional to 999.40, 1,498.30 and 422.12

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Solution

The fourth proportional to 999.40, 1,498.30 and 422.12 is: 632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.40 : 1,498.30 = 422.12 : x
  2. Step 2: Convert to fraction form
    999.40/1,498.30 = 422.12/x
  3. Step 3: Cross multiply
    999.40x = 1,498.30 × 422.12
  4. Step 4: Simplify right side
    999.40x = 632,462.40
  5. Step 5: Solve for x
    x = 632,462.40/999.40
  6. Step 6: Final answer
    x = 632.84

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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.