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Finding the Fourth Proportional to 689.21, 952.61 and 504.02

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Solution

The fourth proportional to 689.21, 952.61 and 504.02 is: 696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.21 : 952.61 = 504.02 : x
  2. Step 2: Convert to fraction form
    689.21/952.61 = 504.02/x
  3. Step 3: Cross multiply
    689.21x = 952.61 × 504.02
  4. Step 4: Simplify right side
    689.21x = 480,137.19
  5. Step 5: Solve for x
    x = 480,137.19/689.21
  6. Step 6: Final answer
    x = 696.65

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Why These Related Problems?

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