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Finding the Fourth Proportional to 1,294.56, 1,941.12 and 645.12

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Solution

The fourth proportional to 1,294.56, 1,941.12 and 645.12 is: 967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.56 : 1,941.12 = 645.12 : x
  2. Step 2: Convert to fraction form
    1,294.56/1,941.12 = 645.12/x
  3. Step 3: Cross multiply
    1,294.56x = 1,941.12 × 645.12
  4. Step 4: Simplify right side
    1,294.56x = 1,252,255.33
  5. Step 5: Solve for x
    x = 1,252,255.33/1,294.56
  6. Step 6: Final answer
    x = 967.32

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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.