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Finding the Fourth Proportional to 950.82, 1,312.04 and 596.75

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Solution

The fourth proportional to 950.82, 1,312.04 and 596.75 is: 823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.82 : 1,312.04 = 596.75 : x
  2. Step 2: Convert to fraction form
    950.82/1,312.04 = 596.75/x
  3. Step 3: Cross multiply
    950.82x = 1,312.04 × 596.75
  4. Step 4: Simplify right side
    950.82x = 782,950.33
  5. Step 5: Solve for x
    x = 782,950.33/950.82
  6. Step 6: Final answer
    x = 823.45

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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.