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Finding the Fourth Proportional to 1,294.48, 1,941.71 and 320.59

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Solution

The fourth proportional to 1,294.48, 1,941.71 and 320.59 is: 480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.48 : 1,941.71 = 320.59 : x
  2. Step 2: Convert to fraction form
    1,294.48/1,941.71 = 320.59/x
  3. Step 3: Cross multiply
    1,294.48x = 1,941.71 × 320.59
  4. Step 4: Simplify right side
    1,294.48x = 622,493.63
  5. Step 5: Solve for x
    x = 622,493.63/1,294.48
  6. Step 6: Final answer
    x = 480.88

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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.