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Finding the Fourth Proportional to 835.00, 1,152.25 and 461.96

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Solution

The fourth proportional to 835.00, 1,152.25 and 461.96 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.00 : 1,152.25 = 461.96 : x
  2. Step 2: Convert to fraction form
    835.00/1,152.25 = 461.96/x
  3. Step 3: Cross multiply
    835.00x = 1,152.25 × 461.96
  4. Step 4: Simplify right side
    835.00x = 532,291.10
  5. Step 5: Solve for x
    x = 532,291.10/835.00
  6. Step 6: Final answer
    x = 637.48

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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.