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Finding the Fourth Proportional to 743.13, 1,113.85 and 309.75

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Solution

The fourth proportional to 743.13, 1,113.85 and 309.75 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.13 : 1,113.85 = 309.75 : x
  2. Step 2: Convert to fraction form
    743.13/1,113.85 = 309.75/x
  3. Step 3: Cross multiply
    743.13x = 1,113.85 × 309.75
  4. Step 4: Simplify right side
    743.13x = 345,015.04
  5. Step 5: Solve for x
    x = 345,015.04/743.13
  6. Step 6: Final answer
    x = 464.27

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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.