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Finding the Fourth Proportional to 596.96, 891.48 and 513.83

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Solution

The fourth proportional to 596.96, 891.48 and 513.83 is: 767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.96 : 891.48 = 513.83 : x
  2. Step 2: Convert to fraction form
    596.96/891.48 = 513.83/x
  3. Step 3: Cross multiply
    596.96x = 891.48 × 513.83
  4. Step 4: Simplify right side
    596.96x = 458,069.17
  5. Step 5: Solve for x
    x = 458,069.17/596.96
  6. Step 6: Final answer
    x = 767.34

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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.