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Finding the Fourth Proportional to 835.24, 1,152.66 and 462.23

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Solution

The fourth proportional to 835.24, 1,152.66 and 462.23 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.24 : 1,152.66 = 462.23 : x
  2. Step 2: Convert to fraction form
    835.24/1,152.66 = 462.23/x
  3. Step 3: Cross multiply
    835.24x = 1,152.66 × 462.23
  4. Step 4: Simplify right side
    835.24x = 532,793.67
  5. Step 5: Solve for x
    x = 532,793.67/835.24
  6. Step 6: Final answer
    x = 637.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.