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Finding the Fourth Proportional to 1,114.46, 1,537.93 and 617.09

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Solution

The fourth proportional to 1,114.46, 1,537.93 and 617.09 is: 851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.46 : 1,537.93 = 617.09 : x
  2. Step 2: Convert to fraction form
    1,114.46/1,537.93 = 617.09/x
  3. Step 3: Cross multiply
    1,114.46x = 1,537.93 × 617.09
  4. Step 4: Simplify right side
    1,114.46x = 949,030.45
  5. Step 5: Solve for x
    x = 949,030.45/1,114.46
  6. Step 6: Final answer
    x = 851.56

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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.