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Finding the Fourth Proportional to 1,427.23, 1,969.57 and 806.23

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Solution

The fourth proportional to 1,427.23, 1,969.57 and 806.23 is: 1,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.23 : 1,969.57 = 806.23 : x
  2. Step 2: Convert to fraction form
    1,427.23/1,969.57 = 806.23/x
  3. Step 3: Cross multiply
    1,427.23x = 1,969.57 × 806.23
  4. Step 4: Simplify right side
    1,427.23x = 1,587,926.42
  5. Step 5: Solve for x
    x = 1,587,926.42/1,427.23
  6. Step 6: Final answer
    x = 1,112.59

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1.5x scale

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.