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Finding the Fourth Proportional to 1,180.92, 1,629.48 and 656.94

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Solution

The fourth proportional to 1,180.92, 1,629.48 and 656.94 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.92 : 1,629.48 = 656.94 : x
  2. Step 2: Convert to fraction form
    1,180.92/1,629.48 = 656.94/x
  3. Step 3: Cross multiply
    1,180.92x = 1,629.48 × 656.94
  4. Step 4: Simplify right side
    1,180.92x = 1,070,470.59
  5. Step 5: Solve for x
    x = 1,070,470.59/1,180.92
  6. Step 6: Final answer
    x = 906.47

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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.