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Finding the Fourth Proportional to 1,279.75, 1,919.63 and 414.07

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Solution

The fourth proportional to 1,279.75, 1,919.63 and 414.07 is: 621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.75 : 1,919.63 = 414.07 : x
  2. Step 2: Convert to fraction form
    1,279.75/1,919.63 = 414.07/x
  3. Step 3: Cross multiply
    1,279.75x = 1,919.63 × 414.07
  4. Step 4: Simplify right side
    1,279.75x = 794,861.19
  5. Step 5: Solve for x
    x = 794,861.19/1,279.75
  6. Step 6: Final answer
    x = 621.11

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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.