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Finding the Fourth Proportional to 835.82, 1,153.42 and 462.80

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Solution

The fourth proportional to 835.82, 1,153.42 and 462.80 is: 638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.82 : 1,153.42 = 462.80 : x
  2. Step 2: Convert to fraction form
    835.82/1,153.42 = 462.80/x
  3. Step 3: Cross multiply
    835.82x = 1,153.42 × 462.80
  4. Step 4: Simplify right side
    835.82x = 533,802.78
  5. Step 5: Solve for x
    x = 533,802.78/835.82
  6. Step 6: Final answer
    x = 638.66

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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.