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Finding the Fourth Proportional to 1,270.34, 1,752.44 and 850.78

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Solution

The fourth proportional to 1,270.34, 1,752.44 and 850.78 is: 1,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.34 : 1,752.44 = 850.78 : x
  2. Step 2: Convert to fraction form
    1,270.34/1,752.44 = 850.78/x
  3. Step 3: Cross multiply
    1,270.34x = 1,752.44 × 850.78
  4. Step 4: Simplify right side
    1,270.34x = 1,490,940.90
  5. Step 5: Solve for x
    x = 1,490,940.90/1,270.34
  6. Step 6: Final answer
    x = 1,173.66

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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.