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Finding the Fourth Proportional to 687.14, 948.42 and 451.30

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Solution

The fourth proportional to 687.14, 948.42 and 451.30 is: 622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.14 : 948.42 = 451.30 : x
  2. Step 2: Convert to fraction form
    687.14/948.42 = 451.30/x
  3. Step 3: Cross multiply
    687.14x = 948.42 × 451.30
  4. Step 4: Simplify right side
    687.14x = 428,021.95
  5. Step 5: Solve for x
    x = 428,021.95/687.14
  6. Step 6: Final answer
    x = 622.90

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1.5x scale

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.