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Finding the Fourth Proportional to 743.09, 1,114.23 and 309.92

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Solution

The fourth proportional to 743.09, 1,114.23 and 309.92 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.09 : 1,114.23 = 309.92 : x
  2. Step 2: Convert to fraction form
    743.09/1,114.23 = 309.92/x
  3. Step 3: Cross multiply
    743.09x = 1,114.23 × 309.92
  4. Step 4: Simplify right side
    743.09x = 345,322.16
  5. Step 5: Solve for x
    x = 345,322.16/743.09
  6. Step 6: Final answer
    x = 464.71

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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.