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Finding the Fourth Proportional to 860.56, 1,186.67 and 736.63

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Solution

The fourth proportional to 860.56, 1,186.67 and 736.63 is: 1,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.56 : 1,186.67 = 736.63 : x
  2. Step 2: Convert to fraction form
    860.56/1,186.67 = 736.63/x
  3. Step 3: Cross multiply
    860.56x = 1,186.67 × 736.63
  4. Step 4: Simplify right side
    860.56x = 874,135.60
  5. Step 5: Solve for x
    x = 874,135.60/860.56
  6. Step 6: Final answer
    x = 1,015.78

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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.