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Finding the Fourth Proportional to 1,263.54, 1,743.21 and 821.82

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Solution

The fourth proportional to 1,263.54, 1,743.21 and 821.82 is: 1,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.54 : 1,743.21 = 821.82 : x
  2. Step 2: Convert to fraction form
    1,263.54/1,743.21 = 821.82/x
  3. Step 3: Cross multiply
    1,263.54x = 1,743.21 × 821.82
  4. Step 4: Simplify right side
    1,263.54x = 1,432,604.84
  5. Step 5: Solve for x
    x = 1,432,604.84/1,263.54
  6. Step 6: Final answer
    x = 1,133.80

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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.