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Finding the Fourth Proportional to 849.89, 1,274.94 and 712.60

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Solution

The fourth proportional to 849.89, 1,274.94 and 712.60 is: 1,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.89 : 1,274.94 = 712.60 : x
  2. Step 2: Convert to fraction form
    849.89/1,274.94 = 712.60/x
  3. Step 3: Cross multiply
    849.89x = 1,274.94 × 712.60
  4. Step 4: Simplify right side
    849.89x = 908,519.06
  5. Step 5: Solve for x
    x = 908,519.06/849.89
  6. Step 6: Final answer
    x = 1,068.98

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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.