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Finding the Fourth Proportional to 998.64, 1,498.80 and 512.16

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Solution

The fourth proportional to 998.64, 1,498.80 and 512.16 is: 768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,498.80 = 512.16 : x
  2. Step 2: Convert to fraction form
    998.64/1,498.80 = 512.16/x
  3. Step 3: Cross multiply
    998.64x = 1,498.80 × 512.16
  4. Step 4: Simplify right side
    998.64x = 767,625.41
  5. Step 5: Solve for x
    x = 767,625.41/998.64
  6. Step 6: Final answer
    x = 768.67

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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.