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Finding the Fourth Proportional to 847.07, 1,266.10 and 736.49

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Solution

The fourth proportional to 847.07, 1,266.10 and 736.49 is: 1,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.07 : 1,266.10 = 736.49 : x
  2. Step 2: Convert to fraction form
    847.07/1,266.10 = 736.49/x
  3. Step 3: Cross multiply
    847.07x = 1,266.10 × 736.49
  4. Step 4: Simplify right side
    847.07x = 932,466.31
  5. Step 5: Solve for x
    x = 932,466.31/847.07
  6. Step 6: Final answer
    x = 1,100.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.