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Finding the Fourth Proportional to 950.69, 1,311.63 and 596.93

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Solution

The fourth proportional to 950.69, 1,311.63 and 596.93 is: 823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.69 : 1,311.63 = 596.93 : x
  2. Step 2: Convert to fraction form
    950.69/1,311.63 = 596.93/x
  3. Step 3: Cross multiply
    950.69x = 1,311.63 × 596.93
  4. Step 4: Simplify right side
    950.69x = 782,944.74
  5. Step 5: Solve for x
    x = 782,944.74/950.69
  6. Step 6: Final answer
    x = 823.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.