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Finding the Fourth Proportional to 1,379.46, 2,069.27 and 442.49

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Solution

The fourth proportional to 1,379.46, 2,069.27 and 442.49 is: 663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.46 : 2,069.27 = 442.49 : x
  2. Step 2: Convert to fraction form
    1,379.46/2,069.27 = 442.49/x
  3. Step 3: Cross multiply
    1,379.46x = 2,069.27 × 442.49
  4. Step 4: Simplify right side
    1,379.46x = 915,618.72
  5. Step 5: Solve for x
    x = 915,618.72/1,379.46
  6. Step 6: Final answer
    x = 663.75

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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.