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Finding the Fourth Proportional to 1,286.51, 1,929.75 and 361.94

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Solution

The fourth proportional to 1,286.51, 1,929.75 and 361.94 is: 542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.51 : 1,929.75 = 361.94 : x
  2. Step 2: Convert to fraction form
    1,286.51/1,929.75 = 361.94/x
  3. Step 3: Cross multiply
    1,286.51x = 1,929.75 × 361.94
  4. Step 4: Simplify right side
    1,286.51x = 698,460.01
  5. Step 5: Solve for x
    x = 698,460.01/1,286.51
  6. Step 6: Final answer
    x = 542.91

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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.