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Finding the Fourth Proportional to 834.54, 1,252.17 and 450.06

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Solution

The fourth proportional to 834.54, 1,252.17 and 450.06 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.54 : 1,252.17 = 450.06 : x
  2. Step 2: Convert to fraction form
    834.54/1,252.17 = 450.06/x
  3. Step 3: Cross multiply
    834.54x = 1,252.17 × 450.06
  4. Step 4: Simplify right side
    834.54x = 563,551.63
  5. Step 5: Solve for x
    x = 563,551.63/834.54
  6. Step 6: Final answer
    x = 675.28

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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.