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Finding the Fourth Proportional to 908.54, 1,254.16 and 687.56

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Solution

The fourth proportional to 908.54, 1,254.16 and 687.56 is: 949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.54 : 1,254.16 = 687.56 : x
  2. Step 2: Convert to fraction form
    908.54/1,254.16 = 687.56/x
  3. Step 3: Cross multiply
    908.54x = 1,254.16 × 687.56
  4. Step 4: Simplify right side
    908.54x = 862,310.25
  5. Step 5: Solve for x
    x = 862,310.25/908.54
  6. Step 6: Final answer
    x = 949.12

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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.