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Finding the Fourth Proportional to 835.34, 1,253.25 and 682.72

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Solution

The fourth proportional to 835.34, 1,253.25 and 682.72 is: 1,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.34 : 1,253.25 = 682.72 : x
  2. Step 2: Convert to fraction form
    835.34/1,253.25 = 682.72/x
  3. Step 3: Cross multiply
    835.34x = 1,253.25 × 682.72
  4. Step 4: Simplify right side
    835.34x = 855,615.71
  5. Step 5: Solve for x
    x = 855,615.71/835.34
  6. Step 6: Final answer
    x = 1,024.28

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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.