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Finding the Fourth Proportional to 835.30, 1,152.69 and 462.22

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Solution

The fourth proportional to 835.30, 1,152.69 and 462.22 is: 637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.30 : 1,152.69 = 462.22 : x
  2. Step 2: Convert to fraction form
    835.30/1,152.69 = 462.22/x
  3. Step 3: Cross multiply
    835.30x = 1,152.69 × 462.22
  4. Step 4: Simplify right side
    835.30x = 532,796.37
  5. Step 5: Solve for x
    x = 532,796.37/835.30
  6. Step 6: Final answer
    x = 637.85

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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.