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Finding the Fourth Proportional to 835.80, 1,153.40 and 462.78

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Solution

The fourth proportional to 835.80, 1,153.40 and 462.78 is: 638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,153.40 = 462.78 : x
  2. Step 2: Convert to fraction form
    835.80/1,153.40 = 462.78/x
  3. Step 3: Cross multiply
    835.80x = 1,153.40 × 462.78
  4. Step 4: Simplify right side
    835.80x = 533,770.45
  5. Step 5: Solve for x
    x = 533,770.45/835.80
  6. Step 6: Final answer
    x = 638.63

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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.