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Finding the Fourth Proportional to 1,189.72, 1,642.14 and 1,077

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Solution

The fourth proportional to 1,189.72, 1,642.14 and 1,077 is: 1,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.72 : 1,642.14 = 1,077 : x
  2. Step 2: Convert to fraction form
    1,189.72/1,642.14 = 1,077/x
  3. Step 3: Cross multiply
    1,189.72x = 1,642.14 × 1,077
  4. Step 4: Simplify right side
    1,189.72x = 1,768,584.78
  5. Step 5: Solve for x
    x = 1,768,584.78/1,189.72
  6. Step 6: Final answer
    x = 1,486.56

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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.