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Finding the Fourth Proportional to 835.43, 1,152.93 and 462.41

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Solution

The fourth proportional to 835.43, 1,152.93 and 462.41 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.43 : 1,152.93 = 462.41 : x
  2. Step 2: Convert to fraction form
    835.43/1,152.93 = 462.41/x
  3. Step 3: Cross multiply
    835.43x = 1,152.93 × 462.41
  4. Step 4: Simplify right side
    835.43x = 533,122.33
  5. Step 5: Solve for x
    x = 533,122.33/835.43
  6. Step 6: Final answer
    x = 638.14

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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.