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Finding the Fourth Proportional to 1,201.21, 1,657.74 and 677.32

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Solution

The fourth proportional to 1,201.21, 1,657.74 and 677.32 is: 934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.21 : 1,657.74 = 677.32 : x
  2. Step 2: Convert to fraction form
    1,201.21/1,657.74 = 677.32/x
  3. Step 3: Cross multiply
    1,201.21x = 1,657.74 × 677.32
  4. Step 4: Simplify right side
    1,201.21x = 1,122,820.46
  5. Step 5: Solve for x
    x = 1,122,820.46/1,201.21
  6. Step 6: Final answer
    x = 934.74

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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.