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Finding the Fourth Proportional to 849.89, 1,274.54 and 830.45

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Solution

The fourth proportional to 849.89, 1,274.54 and 830.45 is: 1,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.89 : 1,274.54 = 830.45 : x
  2. Step 2: Convert to fraction form
    849.89/1,274.54 = 830.45/x
  3. Step 3: Cross multiply
    849.89x = 1,274.54 × 830.45
  4. Step 4: Simplify right side
    849.89x = 1,058,440.78
  5. Step 5: Solve for x
    x = 1,058,440.78/849.89
  6. Step 6: Final answer
    x = 1,245.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.