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Finding the Fourth Proportional to 835.35, 1,152.77 and 462.33

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Solution

The fourth proportional to 835.35, 1,152.77 and 462.33 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.35 : 1,152.77 = 462.33 : x
  2. Step 2: Convert to fraction form
    835.35/1,152.77 = 462.33/x
  3. Step 3: Cross multiply
    835.35x = 1,152.77 × 462.33
  4. Step 4: Simplify right side
    835.35x = 532,960.15
  5. Step 5: Solve for x
    x = 532,960.15/835.35
  6. Step 6: Final answer
    x = 638.01

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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.