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Finding the Fourth Proportional to 1,253.25, 1,879.88 and 341.25

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Solution

The fourth proportional to 1,253.25, 1,879.88 and 341.25 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.25 : 1,879.88 = 341.25 : x
  2. Step 2: Convert to fraction form
    1,253.25/1,879.88 = 341.25/x
  3. Step 3: Cross multiply
    1,253.25x = 1,879.88 × 341.25
  4. Step 4: Simplify right side
    1,253.25x = 641,509.05
  5. Step 5: Solve for x
    x = 641,509.05/1,253.25
  6. Step 6: Final answer
    x = 511.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.