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Finding the Fourth Proportional to 1,374.55, 1,897.23 and 850.27

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Solution

The fourth proportional to 1,374.55, 1,897.23 and 850.27 is: 1,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.55 : 1,897.23 = 850.27 : x
  2. Step 2: Convert to fraction form
    1,374.55/1,897.23 = 850.27/x
  3. Step 3: Cross multiply
    1,374.55x = 1,897.23 × 850.27
  4. Step 4: Simplify right side
    1,374.55x = 1,613,157.75
  5. Step 5: Solve for x
    x = 1,613,157.75/1,374.55
  6. Step 6: Final answer
    x = 1,173.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.