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Finding the Fourth Proportional to 1,192.07, 1,644.51 and 694.42

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Solution

The fourth proportional to 1,192.07, 1,644.51 and 694.42 is: 957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.07 : 1,644.51 = 694.42 : x
  2. Step 2: Convert to fraction form
    1,192.07/1,644.51 = 694.42/x
  3. Step 3: Cross multiply
    1,192.07x = 1,644.51 × 694.42
  4. Step 4: Simplify right side
    1,192.07x = 1,141,976.52
  5. Step 5: Solve for x
    x = 1,141,976.52/1,192.07
  6. Step 6: Final answer
    x = 957.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.