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Finding the Fourth Proportional to 1,205.38, 1,663.56 and 681.38

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Solution

The fourth proportional to 1,205.38, 1,663.56 and 681.38 is: 940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.38 : 1,663.56 = 681.38 : x
  2. Step 2: Convert to fraction form
    1,205.38/1,663.56 = 681.38/x
  3. Step 3: Cross multiply
    1,205.38x = 1,663.56 × 681.38
  4. Step 4: Simplify right side
    1,205.38x = 1,133,516.51
  5. Step 5: Solve for x
    x = 1,133,516.51/1,205.38
  6. Step 6: Final answer
    x = 940.38

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Half scale
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Double scale
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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.