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Finding the Fourth Proportional to 1,019.44, 1,405.92 and 844.48

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Solution

The fourth proportional to 1,019.44, 1,405.92 and 844.48 is: 1,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.44 : 1,405.92 = 844.48 : x
  2. Step 2: Convert to fraction form
    1,019.44/1,405.92 = 844.48/x
  3. Step 3: Cross multiply
    1,019.44x = 1,405.92 × 844.48
  4. Step 4: Simplify right side
    1,019.44x = 1,187,271.32
  5. Step 5: Solve for x
    x = 1,187,271.32/1,019.44
  6. Step 6: Final answer
    x = 1,164.63

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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.