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Finding the Fourth Proportional to 1,379.64, 2,069.02 and 454.98

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Solution

The fourth proportional to 1,379.64, 2,069.02 and 454.98 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.64 : 2,069.02 = 454.98 : x
  2. Step 2: Convert to fraction form
    1,379.64/2,069.02 = 454.98/x
  3. Step 3: Cross multiply
    1,379.64x = 2,069.02 × 454.98
  4. Step 4: Simplify right side
    1,379.64x = 941,371.05
  5. Step 5: Solve for x
    x = 941,371.05/1,379.64
  6. Step 6: Final answer
    x = 682.33

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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.