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Finding the Fourth Proportional to 1,205.46, 1,663.54 and 681.49

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Solution

The fourth proportional to 1,205.46, 1,663.54 and 681.49 is: 940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.46 : 1,663.54 = 681.49 : x
  2. Step 2: Convert to fraction form
    1,205.46/1,663.54 = 681.49/x
  3. Step 3: Cross multiply
    1,205.46x = 1,663.54 × 681.49
  4. Step 4: Simplify right side
    1,205.46x = 1,133,685.87
  5. Step 5: Solve for x
    x = 1,133,685.87/1,205.46
  6. Step 6: Final answer
    x = 940.46

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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.