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Finding the Fourth Proportional to 1,195.84, 1,650.26 and 671.96

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Solution

The fourth proportional to 1,195.84, 1,650.26 and 671.96 is: 927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.84 : 1,650.26 = 671.96 : x
  2. Step 2: Convert to fraction form
    1,195.84/1,650.26 = 671.96/x
  3. Step 3: Cross multiply
    1,195.84x = 1,650.26 × 671.96
  4. Step 4: Simplify right side
    1,195.84x = 1,108,908.71
  5. Step 5: Solve for x
    x = 1,108,908.71/1,195.84
  6. Step 6: Final answer
    x = 927.31

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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.