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Finding the Fourth Proportional to 999.24, 1,499.40 and 422.16

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Solution

The fourth proportional to 999.24, 1,499.40 and 422.16 is: 633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.24 : 1,499.40 = 422.16 : x
  2. Step 2: Convert to fraction form
    999.24/1,499.40 = 422.16/x
  3. Step 3: Cross multiply
    999.24x = 1,499.40 × 422.16
  4. Step 4: Simplify right side
    999.24x = 632,986.70
  5. Step 5: Solve for x
    x = 632,986.70/999.24
  6. Step 6: Final answer
    x = 633.47

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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.