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Finding the Fourth Proportional to 835.19, 1,152.46 and 462.12

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Solution

The fourth proportional to 835.19, 1,152.46 and 462.12 is: 637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.19 : 1,152.46 = 462.12 : x
  2. Step 2: Convert to fraction form
    835.19/1,152.46 = 462.12/x
  3. Step 3: Cross multiply
    835.19x = 1,152.46 × 462.12
  4. Step 4: Simplify right side
    835.19x = 532,570.21
  5. Step 5: Solve for x
    x = 532,570.21/835.19
  6. Step 6: Final answer
    x = 637.67

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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.