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Finding the Fourth Proportional to 744.12, 1,114.11 and 378.12

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Solution

The fourth proportional to 744.12, 1,114.11 and 378.12 is: 566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.12 : 1,114.11 = 378.12 : x
  2. Step 2: Convert to fraction form
    744.12/1,114.11 = 378.12/x
  3. Step 3: Cross multiply
    744.12x = 1,114.11 × 378.12
  4. Step 4: Simplify right side
    744.12x = 421,267.27
  5. Step 5: Solve for x
    x = 421,267.27/744.12
  6. Step 6: Final answer
    x = 566.13

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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.