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Finding the Fourth Proportional to 1,379.22, 2,068.94 and 405.33

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Solution

The fourth proportional to 1,379.22, 2,068.94 and 405.33 is: 608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.22 : 2,068.94 = 405.33 : x
  2. Step 2: Convert to fraction form
    1,379.22/2,068.94 = 405.33/x
  3. Step 3: Cross multiply
    1,379.22x = 2,068.94 × 405.33
  4. Step 4: Simplify right side
    1,379.22x = 838,603.45
  5. Step 5: Solve for x
    x = 838,603.45/1,379.22
  6. Step 6: Final answer
    x = 608.03

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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.