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Finding the Fourth Proportional to 689.10, 951.33 and 502.39

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Solution

The fourth proportional to 689.10, 951.33 and 502.39 is: 693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 951.33 = 502.39 : x
  2. Step 2: Convert to fraction form
    689.10/951.33 = 502.39/x
  3. Step 3: Cross multiply
    689.10x = 951.33 × 502.39
  4. Step 4: Simplify right side
    689.10x = 477,938.68
  5. Step 5: Solve for x
    x = 477,938.68/689.10
  6. Step 6: Final answer
    x = 693.57

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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.