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Finding the Fourth Proportional to 1,180.91, 1,629.49 and 656.84

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Solution

The fourth proportional to 1,180.91, 1,629.49 and 656.84 is: 906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.91 : 1,629.49 = 656.84 : x
  2. Step 2: Convert to fraction form
    1,180.91/1,629.49 = 656.84/x
  3. Step 3: Cross multiply
    1,180.91x = 1,629.49 × 656.84
  4. Step 4: Simplify right side
    1,180.91x = 1,070,314.21
  5. Step 5: Solve for x
    x = 1,070,314.21/1,180.91
  6. Step 6: Final answer
    x = 906.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.