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Finding the Fourth Proportional to 1,379.62, 2,068.62 and 648.19

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Solution

The fourth proportional to 1,379.62, 2,068.62 and 648.19 is: 971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.62 : 2,068.62 = 648.19 : x
  2. Step 2: Convert to fraction form
    1,379.62/2,068.62 = 648.19/x
  3. Step 3: Cross multiply
    1,379.62x = 2,068.62 × 648.19
  4. Step 4: Simplify right side
    1,379.62x = 1,340,858.80
  5. Step 5: Solve for x
    x = 1,340,858.80/1,379.62
  6. Step 6: Final answer
    x = 971.90

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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.