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Finding the Fourth Proportional to 1,284.44, 1,926.68 and 310.55

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Solution

The fourth proportional to 1,284.44, 1,926.68 and 310.55 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.44 : 1,926.68 = 310.55 : x
  2. Step 2: Convert to fraction form
    1,284.44/1,926.68 = 310.55/x
  3. Step 3: Cross multiply
    1,284.44x = 1,926.68 × 310.55
  4. Step 4: Simplify right side
    1,284.44x = 598,333.74
  5. Step 5: Solve for x
    x = 598,333.74/1,284.44
  6. Step 6: Final answer
    x = 465.83

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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.