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Finding the Fourth Proportional to 846.92, 1,270.43 and 299.13

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Solution

The fourth proportional to 846.92, 1,270.43 and 299.13 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.92 : 1,270.43 = 299.13 : x
  2. Step 2: Convert to fraction form
    846.92/1,270.43 = 299.13/x
  3. Step 3: Cross multiply
    846.92x = 1,270.43 × 299.13
  4. Step 4: Simplify right side
    846.92x = 380,022.23
  5. Step 5: Solve for x
    x = 380,022.23/846.92
  6. Step 6: Final answer
    x = 448.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.