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Finding the Fourth Proportional to 1,423.73, 1,964.71 and 794.26

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Solution

The fourth proportional to 1,423.73, 1,964.71 and 794.26 is: 1,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.73 : 1,964.71 = 794.26 : x
  2. Step 2: Convert to fraction form
    1,423.73/1,964.71 = 794.26/x
  3. Step 3: Cross multiply
    1,423.73x = 1,964.71 × 794.26
  4. Step 4: Simplify right side
    1,423.73x = 1,560,483.67
  5. Step 5: Solve for x
    x = 1,560,483.67/1,423.73
  6. Step 6: Final answer
    x = 1,096.05

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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.