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Finding the Fourth Proportional to 689.89, 950.37 and 502.90

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Solution

The fourth proportional to 689.89, 950.37 and 502.90 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.89 : 950.37 = 502.90 : x
  2. Step 2: Convert to fraction form
    689.89/950.37 = 502.90/x
  3. Step 3: Cross multiply
    689.89x = 950.37 × 502.90
  4. Step 4: Simplify right side
    689.89x = 477,941.07
  5. Step 5: Solve for x
    x = 477,941.07/689.89
  6. Step 6: Final answer
    x = 692.78

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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.