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Finding the Fourth Proportional to 689.91, 952.53 and 480.03

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Solution

The fourth proportional to 689.91, 952.53 and 480.03 is: 662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 952.53 = 480.03 : x
  2. Step 2: Convert to fraction form
    689.91/952.53 = 480.03/x
  3. Step 3: Cross multiply
    689.91x = 952.53 × 480.03
  4. Step 4: Simplify right side
    689.91x = 457,242.98
  5. Step 5: Solve for x
    x = 457,242.98/689.91
  6. Step 6: Final answer
    x = 662.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.