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Finding the Fourth Proportional to 1,294.21, 1,941.89 and 738.90

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Solution

The fourth proportional to 1,294.21, 1,941.89 and 738.90 is: 1,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.21 : 1,941.89 = 738.90 : x
  2. Step 2: Convert to fraction form
    1,294.21/1,941.89 = 738.90/x
  3. Step 3: Cross multiply
    1,294.21x = 1,941.89 × 738.90
  4. Step 4: Simplify right side
    1,294.21x = 1,434,849.12
  5. Step 5: Solve for x
    x = 1,434,849.12/1,294.21
  6. Step 6: Final answer
    x = 1,108.67

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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.