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Finding the Fourth Proportional to 999.74, 1,499.91 and 513.14

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Solution

The fourth proportional to 999.74, 1,499.91 and 513.14 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.74 : 1,499.91 = 513.14 : x
  2. Step 2: Convert to fraction form
    999.74/1,499.91 = 513.14/x
  3. Step 3: Cross multiply
    999.74x = 1,499.91 × 513.14
  4. Step 4: Simplify right side
    999.74x = 769,656.32
  5. Step 5: Solve for x
    x = 769,656.32/999.74
  6. Step 6: Final answer
    x = 769.86

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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.