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Finding the Fourth Proportional to 1,027.09, 1,538.33 and 992.49

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Solution

The fourth proportional to 1,027.09, 1,538.33 and 992.49 is: 1,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.09 : 1,538.33 = 992.49 : x
  2. Step 2: Convert to fraction form
    1,027.09/1,538.33 = 992.49/x
  3. Step 3: Cross multiply
    1,027.09x = 1,538.33 × 992.49
  4. Step 4: Simplify right side
    1,027.09x = 1,526,785.10
  5. Step 5: Solve for x
    x = 1,526,785.10/1,027.09
  6. Step 6: Final answer
    x = 1,486.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.