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Finding the Fourth Proportional to 1,356.06, 2,033.87 and 381.94

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Solution

The fourth proportional to 1,356.06, 2,033.87 and 381.94 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.06 : 2,033.87 = 381.94 : x
  2. Step 2: Convert to fraction form
    1,356.06/2,033.87 = 381.94/x
  3. Step 3: Cross multiply
    1,356.06x = 2,033.87 × 381.94
  4. Step 4: Simplify right side
    1,356.06x = 776,809.31
  5. Step 5: Solve for x
    x = 776,809.31/1,356.06
  6. Step 6: Final answer
    x = 572.84

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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.