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Finding the Fourth Proportional to 1,412, 1,948.36 and 806.35

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Solution

The fourth proportional to 1,412, 1,948.36 and 806.35 is: 1,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412 : 1,948.36 = 806.35 : x
  2. Step 2: Convert to fraction form
    1,412/1,948.36 = 806.35/x
  3. Step 3: Cross multiply
    1,412x = 1,948.36 × 806.35
  4. Step 4: Simplify right side
    1,412x = 1,571,060.09
  5. Step 5: Solve for x
    x = 1,571,060.09/1,412
  6. Step 6: Final answer
    x = 1,112.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.