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Finding the Fourth Proportional to 1,195.36, 1,794.30 and 648.64

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Solution

The fourth proportional to 1,195.36, 1,794.30 and 648.64 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.36 : 1,794.30 = 648.64 : x
  2. Step 2: Convert to fraction form
    1,195.36/1,794.30 = 648.64/x
  3. Step 3: Cross multiply
    1,195.36x = 1,794.30 × 648.64
  4. Step 4: Simplify right side
    1,195.36x = 1,163,854.75
  5. Step 5: Solve for x
    x = 1,163,854.75/1,195.36
  6. Step 6: Final answer
    x = 973.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.