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Finding the Fourth Proportional to 1,253, 1,879.50 and 341

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Solution

The fourth proportional to 1,253, 1,879.50 and 341 is: 511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253 : 1,879.50 = 341 : x
  2. Step 2: Convert to fraction form
    1,253/1,879.50 = 341/x
  3. Step 3: Cross multiply
    1,253x = 1,879.50 × 341
  4. Step 4: Simplify right side
    1,253x = 640,909.50
  5. Step 5: Solve for x
    x = 640,909.50/1,253
  6. Step 6: Final answer
    x = 511.50

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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.