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Finding the Fourth Proportional to 1,294.55, 1,941.79 and 320.64

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Solution

The fourth proportional to 1,294.55, 1,941.79 and 320.64 is: 480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.55 : 1,941.79 = 320.64 : x
  2. Step 2: Convert to fraction form
    1,294.55/1,941.79 = 320.64/x
  3. Step 3: Cross multiply
    1,294.55x = 1,941.79 × 320.64
  4. Step 4: Simplify right side
    1,294.55x = 622,615.55
  5. Step 5: Solve for x
    x = 622,615.55/1,294.55
  6. Step 6: Final answer
    x = 480.95

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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.