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Finding the Fourth Proportional to 1,195.32, 1,650.46 and 754.28

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Solution

The fourth proportional to 1,195.32, 1,650.46 and 754.28 is: 1,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.32 : 1,650.46 = 754.28 : x
  2. Step 2: Convert to fraction form
    1,195.32/1,650.46 = 754.28/x
  3. Step 3: Cross multiply
    1,195.32x = 1,650.46 × 754.28
  4. Step 4: Simplify right side
    1,195.32x = 1,244,908.97
  5. Step 5: Solve for x
    x = 1,244,908.97/1,195.32
  6. Step 6: Final answer
    x = 1,041.49

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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.