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Finding the Fourth Proportional to 959.73, 1,439.19 and 343.32

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Solution

The fourth proportional to 959.73, 1,439.19 and 343.32 is: 514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.73 : 1,439.19 = 343.32 : x
  2. Step 2: Convert to fraction form
    959.73/1,439.19 = 343.32/x
  3. Step 3: Cross multiply
    959.73x = 1,439.19 × 343.32
  4. Step 4: Simplify right side
    959.73x = 494,102.71
  5. Step 5: Solve for x
    x = 494,102.71/959.73
  6. Step 6: Final answer
    x = 514.84

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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.