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Finding the Fourth Proportional to 1,286.51, 1,767.65 and 1,024.07

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Solution

The fourth proportional to 1,286.51, 1,767.65 and 1,024.07 is: 1,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.51 : 1,767.65 = 1,024.07 : x
  2. Step 2: Convert to fraction form
    1,286.51/1,767.65 = 1,024.07/x
  3. Step 3: Cross multiply
    1,286.51x = 1,767.65 × 1,024.07
  4. Step 4: Simplify right side
    1,286.51x = 1,810,183.38
  5. Step 5: Solve for x
    x = 1,810,183.38/1,286.51
  6. Step 6: Final answer
    x = 1,407.06

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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.