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Finding the Fourth Proportional to 1,191.32, 1,793.45 and 1,072.25

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Solution

The fourth proportional to 1,191.32, 1,793.45 and 1,072.25 is: 1,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.32 : 1,793.45 = 1,072.25 : x
  2. Step 2: Convert to fraction form
    1,191.32/1,793.45 = 1,072.25/x
  3. Step 3: Cross multiply
    1,191.32x = 1,793.45 × 1,072.25
  4. Step 4: Simplify right side
    1,191.32x = 1,923,026.76
  5. Step 5: Solve for x
    x = 1,923,026.76/1,191.32
  6. Step 6: Final answer
    x = 1,614.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.