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Finding the Fourth Proportional to 1,195.21, 1,649.43 and 656.89

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Solution

The fourth proportional to 1,195.21, 1,649.43 and 656.89 is: 906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.21 : 1,649.43 = 656.89 : x
  2. Step 2: Convert to fraction form
    1,195.21/1,649.43 = 656.89/x
  3. Step 3: Cross multiply
    1,195.21x = 1,649.43 × 656.89
  4. Step 4: Simplify right side
    1,195.21x = 1,083,494.07
  5. Step 5: Solve for x
    x = 1,083,494.07/1,195.21
  6. Step 6: Final answer
    x = 906.53

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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.