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Finding the Fourth Proportional to 835.89, 1,153.60 and 462.91

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Solution

The fourth proportional to 835.89, 1,153.60 and 462.91 is: 638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.89 : 1,153.60 = 462.91 : x
  2. Step 2: Convert to fraction form
    835.89/1,153.60 = 462.91/x
  3. Step 3: Cross multiply
    835.89x = 1,153.60 × 462.91
  4. Step 4: Simplify right side
    835.89x = 534,012.98
  5. Step 5: Solve for x
    x = 534,012.98/835.89
  6. Step 6: Final answer
    x = 638.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.