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Finding the Fourth Proportional to 834.99, 1,252.59 and 314.83

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Solution

The fourth proportional to 834.99, 1,252.59 and 314.83 is: 472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.99 : 1,252.59 = 314.83 : x
  2. Step 2: Convert to fraction form
    834.99/1,252.59 = 314.83/x
  3. Step 3: Cross multiply
    834.99x = 1,252.59 × 314.83
  4. Step 4: Simplify right side
    834.99x = 394,355.07
  5. Step 5: Solve for x
    x = 394,355.07/834.99
  6. Step 6: Final answer
    x = 472.29

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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.