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Finding the Fourth Proportional to 835.33, 1,152.67 and 462.28

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Solution

The fourth proportional to 835.33, 1,152.67 and 462.28 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.33 : 1,152.67 = 462.28 : x
  2. Step 2: Convert to fraction form
    835.33/1,152.67 = 462.28/x
  3. Step 3: Cross multiply
    835.33x = 1,152.67 × 462.28
  4. Step 4: Simplify right side
    835.33x = 532,856.29
  5. Step 5: Solve for x
    x = 532,856.29/835.33
  6. Step 6: Final answer
    x = 637.90

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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.