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Finding the Fourth Proportional to 1,284.96, 1,930.61 and 822.94

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Solution

The fourth proportional to 1,284.96, 1,930.61 and 822.94 is: 1,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.96 : 1,930.61 = 822.94 : x
  2. Step 2: Convert to fraction form
    1,284.96/1,930.61 = 822.94/x
  3. Step 3: Cross multiply
    1,284.96x = 1,930.61 × 822.94
  4. Step 4: Simplify right side
    1,284.96x = 1,588,776.19
  5. Step 5: Solve for x
    x = 1,588,776.19/1,284.96
  6. Step 6: Final answer
    x = 1,236.44

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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.