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Finding the Fourth Proportional to 1,286.36, 1,929.42 and 555.80

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Solution

The fourth proportional to 1,286.36, 1,929.42 and 555.80 is: 833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.36 : 1,929.42 = 555.80 : x
  2. Step 2: Convert to fraction form
    1,286.36/1,929.42 = 555.80/x
  3. Step 3: Cross multiply
    1,286.36x = 1,929.42 × 555.80
  4. Step 4: Simplify right side
    1,286.36x = 1,072,371.64
  5. Step 5: Solve for x
    x = 1,072,371.64/1,286.36
  6. Step 6: Final answer
    x = 833.65

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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.