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Finding the Fourth Proportional to 1,172.56, 1,618.11 and 648.60

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Solution

The fourth proportional to 1,172.56, 1,618.11 and 648.60 is: 895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.56 : 1,618.11 = 648.60 : x
  2. Step 2: Convert to fraction form
    1,172.56/1,618.11 = 648.60/x
  3. Step 3: Cross multiply
    1,172.56x = 1,618.11 × 648.60
  4. Step 4: Simplify right side
    1,172.56x = 1,049,506.15
  5. Step 5: Solve for x
    x = 1,049,506.15/1,172.56
  6. Step 6: Final answer
    x = 895.06

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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.