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Finding the Fourth Proportional to 999.76, 1,499.52 and 513.16

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Solution

The fourth proportional to 999.76, 1,499.52 and 513.16 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.76 : 1,499.52 = 513.16 : x
  2. Step 2: Convert to fraction form
    999.76/1,499.52 = 513.16/x
  3. Step 3: Cross multiply
    999.76x = 1,499.52 × 513.16
  4. Step 4: Simplify right side
    999.76x = 769,493.68
  5. Step 5: Solve for x
    x = 769,493.68/999.76
  6. Step 6: Final answer
    x = 769.68

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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.