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Finding the Fourth Proportional to 1,114.27, 1,537.78 and 617.07

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Solution

The fourth proportional to 1,114.27, 1,537.78 and 617.07 is: 851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.27 : 1,537.78 = 617.07 : x
  2. Step 2: Convert to fraction form
    1,114.27/1,537.78 = 617.07/x
  3. Step 3: Cross multiply
    1,114.27x = 1,537.78 × 617.07
  4. Step 4: Simplify right side
    1,114.27x = 948,915.60
  5. Step 5: Solve for x
    x = 948,915.60/1,114.27
  6. Step 6: Final answer
    x = 851.60

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