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Finding the Fourth Proportional to 850.70, 1,273.08 and 736.50

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Solution

The fourth proportional to 850.70, 1,273.08 and 736.50 is: 1,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.70 : 1,273.08 = 736.50 : x
  2. Step 2: Convert to fraction form
    850.70/1,273.08 = 736.50/x
  3. Step 3: Cross multiply
    850.70x = 1,273.08 × 736.50
  4. Step 4: Simplify right side
    850.70x = 937,623.42
  5. Step 5: Solve for x
    x = 937,623.42/850.70
  6. Step 6: Final answer
    x = 1,102.18

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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.