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Finding the Fourth Proportional to 689.91, 952.31 and 504.35

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Solution

The fourth proportional to 689.91, 952.31 and 504.35 is: 696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 952.31 = 504.35 : x
  2. Step 2: Convert to fraction form
    689.91/952.31 = 504.35/x
  3. Step 3: Cross multiply
    689.91x = 952.31 × 504.35
  4. Step 4: Simplify right side
    689.91x = 480,298.81
  5. Step 5: Solve for x
    x = 480,298.81/689.91
  6. Step 6: Final answer
    x = 696.18

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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.