Home / 1,286.06-1,929.14-361.68

Finding the Fourth Proportional to 1,286.06, 1,929.14 and 361.68

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Solution

The fourth proportional to 1,286.06, 1,929.14 and 361.68 is: 542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.06 : 1,929.14 = 361.68 : x
  2. Step 2: Convert to fraction form
    1,286.06/1,929.14 = 361.68/x
  3. Step 3: Cross multiply
    1,286.06x = 1,929.14 × 361.68
  4. Step 4: Simplify right side
    1,286.06x = 697,731.36
  5. Step 5: Solve for x
    x = 697,731.36/1,286.06
  6. Step 6: Final answer
    x = 542.53

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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.