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Finding the Fourth Proportional to 835.34, 1,252.31 and 465.14

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Solution

The fourth proportional to 835.34, 1,252.31 and 465.14 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.34 : 1,252.31 = 465.14 : x
  2. Step 2: Convert to fraction form
    835.34/1,252.31 = 465.14/x
  3. Step 3: Cross multiply
    835.34x = 1,252.31 × 465.14
  4. Step 4: Simplify right side
    835.34x = 582,490.89
  5. Step 5: Solve for x
    x = 582,490.89/835.34
  6. Step 6: Final answer
    x = 697.31

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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.