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Finding the Fourth Proportional to 835.44, 1,152.81 and 462.35

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Solution

The fourth proportional to 835.44, 1,152.81 and 462.35 is: 637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,152.81 = 462.35 : x
  2. Step 2: Convert to fraction form
    835.44/1,152.81 = 462.35/x
  3. Step 3: Cross multiply
    835.44x = 1,152.81 × 462.35
  4. Step 4: Simplify right side
    835.44x = 532,995.18
  5. Step 5: Solve for x
    x = 532,995.18/835.44
  6. Step 6: Final answer
    x = 637.98

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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.