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Finding the Fourth Proportional to 958.06, 1,436.54 and 519.14

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Solution

The fourth proportional to 958.06, 1,436.54 and 519.14 is: 778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.06 : 1,436.54 = 519.14 : x
  2. Step 2: Convert to fraction form
    958.06/1,436.54 = 519.14/x
  3. Step 3: Cross multiply
    958.06x = 1,436.54 × 519.14
  4. Step 4: Simplify right side
    958.06x = 745,766.37
  5. Step 5: Solve for x
    x = 745,766.37/958.06
  6. Step 6: Final answer
    x = 778.41

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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.