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Finding the Fourth Proportional to 742.94, 1,114.44 and 310.04

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Solution

The fourth proportional to 742.94, 1,114.44 and 310.04 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.94 : 1,114.44 = 310.04 : x
  2. Step 2: Convert to fraction form
    742.94/1,114.44 = 310.04/x
  3. Step 3: Cross multiply
    742.94x = 1,114.44 × 310.04
  4. Step 4: Simplify right side
    742.94x = 345,520.98
  5. Step 5: Solve for x
    x = 345,520.98/742.94
  6. Step 6: Final answer
    x = 465.07

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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.