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Finding the Fourth Proportional to 513, 769.68 and 473.04

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Solution

The fourth proportional to 513, 769.68 and 473.04 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 769.68 = 473.04 : x
  2. Step 2: Convert to fraction form
    513/769.68 = 473.04/x
  3. Step 3: Cross multiply
    513x = 769.68 × 473.04
  4. Step 4: Simplify right side
    513x = 364,089.43
  5. Step 5: Solve for x
    x = 364,089.43/513
  6. Step 6: Final answer
    x = 709.73

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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.