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Finding the Fourth Proportional to 952.34, 1,428.51 and 658.92

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Solution

The fourth proportional to 952.34, 1,428.51 and 658.92 is: 988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.34 : 1,428.51 = 658.92 : x
  2. Step 2: Convert to fraction form
    952.34/1,428.51 = 658.92/x
  3. Step 3: Cross multiply
    952.34x = 1,428.51 × 658.92
  4. Step 4: Simplify right side
    952.34x = 941,273.81
  5. Step 5: Solve for x
    x = 941,273.81/952.34
  6. Step 6: Final answer
    x = 988.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.