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Finding the Fourth Proportional to 1,205.31, 1,816.23 and 1,004.43

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Solution

The fourth proportional to 1,205.31, 1,816.23 and 1,004.43 is: 1,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.31 : 1,816.23 = 1,004.43 : x
  2. Step 2: Convert to fraction form
    1,205.31/1,816.23 = 1,004.43/x
  3. Step 3: Cross multiply
    1,205.31x = 1,816.23 × 1,004.43
  4. Step 4: Simplify right side
    1,205.31x = 1,824,275.90
  5. Step 5: Solve for x
    x = 1,824,275.90/1,205.31
  6. Step 6: Final answer
    x = 1,513.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.