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Finding the Fourth Proportional to 1,076.96, 1,604.60 and 1,006.23

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Solution

The fourth proportional to 1,076.96, 1,604.60 and 1,006.23 is: 1,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.96 : 1,604.60 = 1,006.23 : x
  2. Step 2: Convert to fraction form
    1,076.96/1,604.60 = 1,006.23/x
  3. Step 3: Cross multiply
    1,076.96x = 1,604.60 × 1,006.23
  4. Step 4: Simplify right side
    1,076.96x = 1,614,596.66
  5. Step 5: Solve for x
    x = 1,614,596.66/1,076.96
  6. Step 6: Final answer
    x = 1,499.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.