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Finding the Fourth Proportional to 687.42, 948.60 and 376.92

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Solution

The fourth proportional to 687.42, 948.60 and 376.92 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.42 : 948.60 = 376.92 : x
  2. Step 2: Convert to fraction form
    687.42/948.60 = 376.92/x
  3. Step 3: Cross multiply
    687.42x = 948.60 × 376.92
  4. Step 4: Simplify right side
    687.42x = 357,546.31
  5. Step 5: Solve for x
    x = 357,546.31/687.42
  6. Step 6: Final answer
    x = 520.13

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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.