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Finding the Fourth Proportional to 860.38, 1,186.56 and 728.22

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Solution

The fourth proportional to 860.38, 1,186.56 and 728.22 is: 1,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.38 : 1,186.56 = 728.22 : x
  2. Step 2: Convert to fraction form
    860.38/1,186.56 = 728.22/x
  3. Step 3: Cross multiply
    860.38x = 1,186.56 × 728.22
  4. Step 4: Simplify right side
    860.38x = 864,076.72
  5. Step 5: Solve for x
    x = 864,076.72/860.38
  6. Step 6: Final answer
    x = 1,004.30

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1.5x scale

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.