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Finding the Fourth Proportional to 1,021.06, 1,407.82 and 863.41

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Solution

The fourth proportional to 1,021.06, 1,407.82 and 863.41 is: 1,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.06 : 1,407.82 = 863.41 : x
  2. Step 2: Convert to fraction form
    1,021.06/1,407.82 = 863.41/x
  3. Step 3: Cross multiply
    1,021.06x = 1,407.82 × 863.41
  4. Step 4: Simplify right side
    1,021.06x = 1,215,525.87
  5. Step 5: Solve for x
    x = 1,215,525.87/1,021.06
  6. Step 6: Final answer
    x = 1,190.45

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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.