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Finding the Fourth Proportional to 1,114.43, 1,537.94 and 617.10

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Solution

The fourth proportional to 1,114.43, 1,537.94 and 617.10 is: 851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.43 : 1,537.94 = 617.10 : x
  2. Step 2: Convert to fraction form
    1,114.43/1,537.94 = 617.10/x
  3. Step 3: Cross multiply
    1,114.43x = 1,537.94 × 617.10
  4. Step 4: Simplify right side
    1,114.43x = 949,059.69
  5. Step 5: Solve for x
    x = 949,059.69/1,114.43
  6. Step 6: Final answer
    x = 851.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.