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Finding the Fourth Proportional to 1,192.51, 1,644.60 and 863.11

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Solution

The fourth proportional to 1,192.51, 1,644.60 and 863.11 is: 1,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.51 : 1,644.60 = 863.11 : x
  2. Step 2: Convert to fraction form
    1,192.51/1,644.60 = 863.11/x
  3. Step 3: Cross multiply
    1,192.51x = 1,644.60 × 863.11
  4. Step 4: Simplify right side
    1,192.51x = 1,419,470.71
  5. Step 5: Solve for x
    x = 1,419,470.71/1,192.51
  6. Step 6: Final answer
    x = 1,190.32

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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.