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Finding the Fourth Proportional to 1,201.44, 1,657.56 and 677.34

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Solution

The fourth proportional to 1,201.44, 1,657.56 and 677.34 is: 934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.44 : 1,657.56 = 677.34 : x
  2. Step 2: Convert to fraction form
    1,201.44/1,657.56 = 677.34/x
  3. Step 3: Cross multiply
    1,201.44x = 1,657.56 × 677.34
  4. Step 4: Simplify right side
    1,201.44x = 1,122,731.69
  5. Step 5: Solve for x
    x = 1,122,731.69/1,201.44
  6. Step 6: Final answer
    x = 934.49

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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.