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Finding the Fourth Proportional to 1,195.64, 1,793.63 and 373.97

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Solution

The fourth proportional to 1,195.64, 1,793.63 and 373.97 is: 561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.64 : 1,793.63 = 373.97 : x
  2. Step 2: Convert to fraction form
    1,195.64/1,793.63 = 373.97/x
  3. Step 3: Cross multiply
    1,195.64x = 1,793.63 × 373.97
  4. Step 4: Simplify right side
    1,195.64x = 670,769.23
  5. Step 5: Solve for x
    x = 670,769.23/1,195.64
  6. Step 6: Final answer
    x = 561.02

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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.