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Finding the Fourth Proportional to 1,290.43, 1,936.41 and 510.51

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Solution

The fourth proportional to 1,290.43, 1,936.41 and 510.51 is: 766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.43 : 1,936.41 = 510.51 : x
  2. Step 2: Convert to fraction form
    1,290.43/1,936.41 = 510.51/x
  3. Step 3: Cross multiply
    1,290.43x = 1,936.41 × 510.51
  4. Step 4: Simplify right side
    1,290.43x = 988,551.12
  5. Step 5: Solve for x
    x = 988,551.12/1,290.43
  6. Step 6: Final answer
    x = 766.06

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