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Finding the Fourth Proportional to 1,195.07, 1,648.96 and 697.73

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Solution

The fourth proportional to 1,195.07, 1,648.96 and 697.73 is: 962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.07 : 1,648.96 = 697.73 : x
  2. Step 2: Convert to fraction form
    1,195.07/1,648.96 = 697.73/x
  3. Step 3: Cross multiply
    1,195.07x = 1,648.96 × 697.73
  4. Step 4: Simplify right side
    1,195.07x = 1,150,518.87
  5. Step 5: Solve for x
    x = 1,150,518.87/1,195.07
  6. Step 6: Final answer
    x = 962.72

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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.