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Finding the Fourth Proportional to 1,189.23, 1,637.52 and 1,054.52

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Solution

The fourth proportional to 1,189.23, 1,637.52 and 1,054.52 is: 1,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.23 : 1,637.52 = 1,054.52 : x
  2. Step 2: Convert to fraction form
    1,189.23/1,637.52 = 1,054.52/x
  3. Step 3: Cross multiply
    1,189.23x = 1,637.52 × 1,054.52
  4. Step 4: Simplify right side
    1,189.23x = 1,726,789.40
  5. Step 5: Solve for x
    x = 1,726,789.40/1,189.23
  6. Step 6: Final answer
    x = 1,452.03

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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.