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Finding the Fourth Proportional to 1,263.86, 1,744.10 and 822.64

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Solution

The fourth proportional to 1,263.86, 1,744.10 and 822.64 is: 1,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.86 : 1,744.10 = 822.64 : x
  2. Step 2: Convert to fraction form
    1,263.86/1,744.10 = 822.64/x
  3. Step 3: Cross multiply
    1,263.86x = 1,744.10 × 822.64
  4. Step 4: Simplify right side
    1,263.86x = 1,434,766.42
  5. Step 5: Solve for x
    x = 1,434,766.42/1,263.86
  6. Step 6: Final answer
    x = 1,135.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.