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Finding the Fourth Proportional to 1,379.94, 2,069.46 and 730.32

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Solution

The fourth proportional to 1,379.94, 2,069.46 and 730.32 is: 1,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.94 : 2,069.46 = 730.32 : x
  2. Step 2: Convert to fraction form
    1,379.94/2,069.46 = 730.32/x
  3. Step 3: Cross multiply
    1,379.94x = 2,069.46 × 730.32
  4. Step 4: Simplify right side
    1,379.94x = 1,511,368.03
  5. Step 5: Solve for x
    x = 1,511,368.03/1,379.94
  6. Step 6: Final answer
    x = 1,095.24

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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.