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Finding the Fourth Proportional to 1,244.23, 1,714.94 and 850.57

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Solution

The fourth proportional to 1,244.23, 1,714.94 and 850.57 is: 1,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.23 : 1,714.94 = 850.57 : x
  2. Step 2: Convert to fraction form
    1,244.23/1,714.94 = 850.57/x
  3. Step 3: Cross multiply
    1,244.23x = 1,714.94 × 850.57
  4. Step 4: Simplify right side
    1,244.23x = 1,458,671.17
  5. Step 5: Solve for x
    x = 1,458,671.17/1,244.23
  6. Step 6: Final answer
    x = 1,172.35

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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.