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Finding the Fourth Proportional to 1,195.25, 1,645.97 and 974.72

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Solution

The fourth proportional to 1,195.25, 1,645.97 and 974.72 is: 1,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.25 : 1,645.97 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,195.25/1,645.97 = 974.72/x
  3. Step 3: Cross multiply
    1,195.25x = 1,645.97 × 974.72
  4. Step 4: Simplify right side
    1,195.25x = 1,604,346.77
  5. Step 5: Solve for x
    x = 1,604,346.77/1,195.25
  6. Step 6: Final answer
    x = 1,342.27

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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.