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Finding the Fourth Proportional to 1,205.43, 1,663.47 and 681.45

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Solution

The fourth proportional to 1,205.43, 1,663.47 and 681.45 is: 940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.43 : 1,663.47 = 681.45 : x
  2. Step 2: Convert to fraction form
    1,205.43/1,663.47 = 681.45/x
  3. Step 3: Cross multiply
    1,205.43x = 1,663.47 × 681.45
  4. Step 4: Simplify right side
    1,205.43x = 1,133,571.63
  5. Step 5: Solve for x
    x = 1,133,571.63/1,205.43
  6. Step 6: Final answer
    x = 940.39

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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.