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Finding the Fourth Proportional to 835.02, 1,252.14 and 314.62

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Solution

The fourth proportional to 835.02, 1,252.14 and 314.62 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.02 : 1,252.14 = 314.62 : x
  2. Step 2: Convert to fraction form
    835.02/1,252.14 = 314.62/x
  3. Step 3: Cross multiply
    835.02x = 1,252.14 × 314.62
  4. Step 4: Simplify right side
    835.02x = 393,948.29
  5. Step 5: Solve for x
    x = 393,948.29/835.02
  6. Step 6: Final answer
    x = 471.78

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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.