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Finding the Fourth Proportional to 999.79, 1,499.69 and 512.58

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Solution

The fourth proportional to 999.79, 1,499.69 and 512.58 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.79 : 1,499.69 = 512.58 : x
  2. Step 2: Convert to fraction form
    999.79/1,499.69 = 512.58/x
  3. Step 3: Cross multiply
    999.79x = 1,499.69 × 512.58
  4. Step 4: Simplify right side
    999.79x = 768,711.10
  5. Step 5: Solve for x
    x = 768,711.10/999.79
  6. Step 6: Final answer
    x = 768.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.