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Finding the Fourth Proportional to 1,201.44, 1,657.96 and 677.48

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Solution

The fourth proportional to 1,201.44, 1,657.96 and 677.48 is: 934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.44 : 1,657.96 = 677.48 : x
  2. Step 2: Convert to fraction form
    1,201.44/1,657.96 = 677.48/x
  3. Step 3: Cross multiply
    1,201.44x = 1,657.96 × 677.48
  4. Step 4: Simplify right side
    1,201.44x = 1,123,234.74
  5. Step 5: Solve for x
    x = 1,123,234.74/1,201.44
  6. Step 6: Final answer
    x = 934.91

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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.