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Finding the Fourth Proportional to 959.78, 1,439.47 and 343.47

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Solution

The fourth proportional to 959.78, 1,439.47 and 343.47 is: 515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.78 : 1,439.47 = 343.47 : x
  2. Step 2: Convert to fraction form
    959.78/1,439.47 = 343.47/x
  3. Step 3: Cross multiply
    959.78x = 1,439.47 × 343.47
  4. Step 4: Simplify right side
    959.78x = 494,420.59
  5. Step 5: Solve for x
    x = 494,420.59/959.78
  6. Step 6: Final answer
    x = 515.14

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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.