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Finding the Fourth Proportional to 1,325.79, 1,829.63 and 794.49

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Solution

The fourth proportional to 1,325.79, 1,829.63 and 794.49 is: 1,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.79 : 1,829.63 = 794.49 : x
  2. Step 2: Convert to fraction form
    1,325.79/1,829.63 = 794.49/x
  3. Step 3: Cross multiply
    1,325.79x = 1,829.63 × 794.49
  4. Step 4: Simplify right side
    1,325.79x = 1,453,625.92
  5. Step 5: Solve for x
    x = 1,453,625.92/1,325.79
  6. Step 6: Final answer
    x = 1,096.42

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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.