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Finding the Fourth Proportional to 1,284.93, 1,928.03 and 822.87

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Solution

The fourth proportional to 1,284.93, 1,928.03 and 822.87 is: 1,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.93 : 1,928.03 = 822.87 : x
  2. Step 2: Convert to fraction form
    1,284.93/1,928.03 = 822.87/x
  3. Step 3: Cross multiply
    1,284.93x = 1,928.03 × 822.87
  4. Step 4: Simplify right side
    1,284.93x = 1,586,513.93
  5. Step 5: Solve for x
    x = 1,586,513.93/1,284.93
  6. Step 6: Final answer
    x = 1,234.71

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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.