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Finding the Fourth Proportional to 1,176.99, 1,757.53 and 1,023.27

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Solution

The fourth proportional to 1,176.99, 1,757.53 and 1,023.27 is: 1,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.99 : 1,757.53 = 1,023.27 : x
  2. Step 2: Convert to fraction form
    1,176.99/1,757.53 = 1,023.27/x
  3. Step 3: Cross multiply
    1,176.99x = 1,757.53 × 1,023.27
  4. Step 4: Simplify right side
    1,176.99x = 1,798,427.72
  5. Step 5: Solve for x
    x = 1,798,427.72/1,176.99
  6. Step 6: Final answer
    x = 1,527.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.