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Finding the Fourth Proportional to 689.37, 952.16 and 502.56

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Solution

The fourth proportional to 689.37, 952.16 and 502.56 is: 694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.37 : 952.16 = 502.56 : x
  2. Step 2: Convert to fraction form
    689.37/952.16 = 502.56/x
  3. Step 3: Cross multiply
    689.37x = 952.16 × 502.56
  4. Step 4: Simplify right side
    689.37x = 478,515.02
  5. Step 5: Solve for x
    x = 478,515.02/689.37
  6. Step 6: Final answer
    x = 694.14

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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.