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Finding the Fourth Proportional to 998.60, 1,500.72 and 512

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Solution

The fourth proportional to 998.60, 1,500.72 and 512 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.60 : 1,500.72 = 512 : x
  2. Step 2: Convert to fraction form
    998.60/1,500.72 = 512/x
  3. Step 3: Cross multiply
    998.60x = 1,500.72 × 512
  4. Step 4: Simplify right side
    998.60x = 768,368.64
  5. Step 5: Solve for x
    x = 768,368.64/998.60
  6. Step 6: Final answer
    x = 769.45

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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.