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Finding the Fourth Proportional to 1,071.71, 1,477.26 and 850.27

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Solution

The fourth proportional to 1,071.71, 1,477.26 and 850.27 is: 1,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.71 : 1,477.26 = 850.27 : x
  2. Step 2: Convert to fraction form
    1,071.71/1,477.26 = 850.27/x
  3. Step 3: Cross multiply
    1,071.71x = 1,477.26 × 850.27
  4. Step 4: Simplify right side
    1,071.71x = 1,256,069.86
  5. Step 5: Solve for x
    x = 1,256,069.86/1,071.71
  6. Step 6: Final answer
    x = 1,172.02

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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.