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Finding the Fourth Proportional to 998.93, 1,498.90 and 756.94

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Solution

The fourth proportional to 998.93, 1,498.90 and 756.94 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.93 : 1,498.90 = 756.94 : x
  2. Step 2: Convert to fraction form
    998.93/1,498.90 = 756.94/x
  3. Step 3: Cross multiply
    998.93x = 1,498.90 × 756.94
  4. Step 4: Simplify right side
    998.93x = 1,134,577.37
  5. Step 5: Solve for x
    x = 1,134,577.37/998.93
  6. Step 6: Final answer
    x = 1,135.80

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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.