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Finding the Fourth Proportional to 1,423.31, 1,964.05 and 834.03

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Solution

The fourth proportional to 1,423.31, 1,964.05 and 834.03 is: 1,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.31 : 1,964.05 = 834.03 : x
  2. Step 2: Convert to fraction form
    1,423.31/1,964.05 = 834.03/x
  3. Step 3: Cross multiply
    1,423.31x = 1,964.05 × 834.03
  4. Step 4: Simplify right side
    1,423.31x = 1,638,074.54
  5. Step 5: Solve for x
    x = 1,638,074.54/1,423.31
  6. Step 6: Final answer
    x = 1,150.89

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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.