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Finding the Fourth Proportional to 835.22, 1,152.71 and 485.91

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Solution

The fourth proportional to 835.22, 1,152.71 and 485.91 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.22 : 1,152.71 = 485.91 : x
  2. Step 2: Convert to fraction form
    835.22/1,152.71 = 485.91/x
  3. Step 3: Cross multiply
    835.22x = 1,152.71 × 485.91
  4. Step 4: Simplify right side
    835.22x = 560,110.89
  5. Step 5: Solve for x
    x = 560,110.89/835.22
  6. Step 6: Final answer
    x = 670.61

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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.