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Finding the Fourth Proportional to 1,284.09, 1,926.98 and 797.48

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Solution

The fourth proportional to 1,284.09, 1,926.98 and 797.48 is: 1,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.09 : 1,926.98 = 797.48 : x
  2. Step 2: Convert to fraction form
    1,284.09/1,926.98 = 797.48/x
  3. Step 3: Cross multiply
    1,284.09x = 1,926.98 × 797.48
  4. Step 4: Simplify right side
    1,284.09x = 1,536,714.39
  5. Step 5: Solve for x
    x = 1,536,714.39/1,284.09
  6. Step 6: Final answer
    x = 1,196.73

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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.