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Finding the Fourth Proportional to 589.85, 882.69 and 513.64

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Solution

The fourth proportional to 589.85, 882.69 and 513.64 is: 768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.85 : 882.69 = 513.64 : x
  2. Step 2: Convert to fraction form
    589.85/882.69 = 513.64/x
  3. Step 3: Cross multiply
    589.85x = 882.69 × 513.64
  4. Step 4: Simplify right side
    589.85x = 453,384.89
  5. Step 5: Solve for x
    x = 453,384.89/589.85
  6. Step 6: Final answer
    x = 768.64

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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.