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Finding the Fourth Proportional to 690.92, 953.92 and 513.92

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Solution

The fourth proportional to 690.92, 953.92 and 513.92 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.92 : 953.92 = 513.92 : x
  2. Step 2: Convert to fraction form
    690.92/953.92 = 513.92/x
  3. Step 3: Cross multiply
    690.92x = 953.92 × 513.92
  4. Step 4: Simplify right side
    690.92x = 490,238.57
  5. Step 5: Solve for x
    x = 490,238.57/690.92
  6. Step 6: Final answer
    x = 709.54

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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.