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Finding the Fourth Proportional to 835.05, 1,152.36 and 462.02

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Solution

The fourth proportional to 835.05, 1,152.36 and 462.02 is: 637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.05 : 1,152.36 = 462.02 : x
  2. Step 2: Convert to fraction form
    835.05/1,152.36 = 462.02/x
  3. Step 3: Cross multiply
    835.05x = 1,152.36 × 462.02
  4. Step 4: Simplify right side
    835.05x = 532,407.61
  5. Step 5: Solve for x
    x = 532,407.61/835.05
  6. Step 6: Final answer
    x = 637.58

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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.