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Finding the Fourth Proportional to 1,071.22, 1,485.23 and 1,012.90

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Solution

The fourth proportional to 1,071.22, 1,485.23 and 1,012.90 is: 1,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.22 : 1,485.23 = 1,012.90 : x
  2. Step 2: Convert to fraction form
    1,071.22/1,485.23 = 1,012.90/x
  3. Step 3: Cross multiply
    1,071.22x = 1,485.23 × 1,012.90
  4. Step 4: Simplify right side
    1,071.22x = 1,504,389.47
  5. Step 5: Solve for x
    x = 1,504,389.47/1,071.22
  6. Step 6: Final answer
    x = 1,404.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.