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Finding the Fourth Proportional to 1,192.94, 1,637.48 and 1,059.02

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Solution

The fourth proportional to 1,192.94, 1,637.48 and 1,059.02 is: 1,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.94 : 1,637.48 = 1,059.02 : x
  2. Step 2: Convert to fraction form
    1,192.94/1,637.48 = 1,059.02/x
  3. Step 3: Cross multiply
    1,192.94x = 1,637.48 × 1,059.02
  4. Step 4: Simplify right side
    1,192.94x = 1,734,118.77
  5. Step 5: Solve for x
    x = 1,734,118.77/1,192.94
  6. Step 6: Final answer
    x = 1,453.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.