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Finding the Fourth Proportional to 1,286, 1,925.93 and 822.34

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Solution

The fourth proportional to 1,286, 1,925.93 and 822.34 is: 1,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 1,925.93 = 822.34 : x
  2. Step 2: Convert to fraction form
    1,286/1,925.93 = 822.34/x
  3. Step 3: Cross multiply
    1,286x = 1,925.93 × 822.34
  4. Step 4: Simplify right side
    1,286x = 1,583,769.28
  5. Step 5: Solve for x
    x = 1,583,769.28/1,286
  6. Step 6: Final answer
    x = 1,231.55

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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.