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Finding the Fourth Proportional to 512.99, 764.61 and 483.80

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Solution

The fourth proportional to 512.99, 764.61 and 483.80 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.99 : 764.61 = 483.80 : x
  2. Step 2: Convert to fraction form
    512.99/764.61 = 483.80/x
  3. Step 3: Cross multiply
    512.99x = 764.61 × 483.80
  4. Step 4: Simplify right side
    512.99x = 369,921.46
  5. Step 5: Solve for x
    x = 369,921.46/512.99
  6. Step 6: Final answer
    x = 721.11

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