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Finding the Fourth Proportional to 1,213.54, 1,820.56 and 693.79

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Solution

The fourth proportional to 1,213.54, 1,820.56 and 693.79 is: 1,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.54 : 1,820.56 = 693.79 : x
  2. Step 2: Convert to fraction form
    1,213.54/1,820.56 = 693.79/x
  3. Step 3: Cross multiply
    1,213.54x = 1,820.56 × 693.79
  4. Step 4: Simplify right side
    1,213.54x = 1,263,077.22
  5. Step 5: Solve for x
    x = 1,263,077.22/1,213.54
  6. Step 6: Final answer
    x = 1,040.82

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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.