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Finding the Fourth Proportional to 835.45, 1,152.91 and 462.43

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Solution

The fourth proportional to 835.45, 1,152.91 and 462.43 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.45 : 1,152.91 = 462.43 : x
  2. Step 2: Convert to fraction form
    835.45/1,152.91 = 462.43/x
  3. Step 3: Cross multiply
    835.45x = 1,152.91 × 462.43
  4. Step 4: Simplify right side
    835.45x = 533,140.17
  5. Step 5: Solve for x
    x = 533,140.17/835.45
  6. Step 6: Final answer
    x = 638.15

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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.