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Finding the Fourth Proportional to 689.01, 947.99 and 605.97

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Solution

The fourth proportional to 689.01, 947.99 and 605.97 is: 833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.01 : 947.99 = 605.97 : x
  2. Step 2: Convert to fraction form
    689.01/947.99 = 605.97/x
  3. Step 3: Cross multiply
    689.01x = 947.99 × 605.97
  4. Step 4: Simplify right side
    689.01x = 574,455.02
  5. Step 5: Solve for x
    x = 574,455.02/689.01
  6. Step 6: Final answer
    x = 833.74

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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.