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Finding the Fourth Proportional to 835.42, 1,253.01 and 460.29

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Solution

The fourth proportional to 835.42, 1,253.01 and 460.29 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.42 : 1,253.01 = 460.29 : x
  2. Step 2: Convert to fraction form
    835.42/1,253.01 = 460.29/x
  3. Step 3: Cross multiply
    835.42x = 1,253.01 × 460.29
  4. Step 4: Simplify right side
    835.42x = 576,747.97
  5. Step 5: Solve for x
    x = 576,747.97/835.42
  6. Step 6: Final answer
    x = 690.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.