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Finding the Fourth Proportional to 999.72, 1,500.18 and 512.94

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Solution

The fourth proportional to 999.72, 1,500.18 and 512.94 is: 769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.72 : 1,500.18 = 512.94 : x
  2. Step 2: Convert to fraction form
    999.72/1,500.18 = 512.94/x
  3. Step 3: Cross multiply
    999.72x = 1,500.18 × 512.94
  4. Step 4: Simplify right side
    999.72x = 769,502.33
  5. Step 5: Solve for x
    x = 769,502.33/999.72
  6. Step 6: Final answer
    x = 769.72

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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.