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Finding the Fourth Proportional to 687.40, 948.56 and 376.90

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Solution

The fourth proportional to 687.40, 948.56 and 376.90 is: 520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.40 : 948.56 = 376.90 : x
  2. Step 2: Convert to fraction form
    687.40/948.56 = 376.90/x
  3. Step 3: Cross multiply
    687.40x = 948.56 × 376.90
  4. Step 4: Simplify right side
    687.40x = 357,512.26
  5. Step 5: Solve for x
    x = 357,512.26/687.40
  6. Step 6: Final answer
    x = 520.09

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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.