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Finding the Fourth Proportional to 596.58, 891.03 and 514.57

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Solution

The fourth proportional to 596.58, 891.03 and 514.57 is: 768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.58 : 891.03 = 514.57 : x
  2. Step 2: Convert to fraction form
    596.58/891.03 = 514.57/x
  3. Step 3: Cross multiply
    596.58x = 891.03 × 514.57
  4. Step 4: Simplify right side
    596.58x = 458,497.31
  5. Step 5: Solve for x
    x = 458,497.31/596.58
  6. Step 6: Final answer
    x = 768.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.