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Finding the Fourth Proportional to 687.84, 949.20 and 451.68

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Solution

The fourth proportional to 687.84, 949.20 and 451.68 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 949.20 = 451.68 : x
  2. Step 2: Convert to fraction form
    687.84/949.20 = 451.68/x
  3. Step 3: Cross multiply
    687.84x = 949.20 × 451.68
  4. Step 4: Simplify right side
    687.84x = 428,734.66
  5. Step 5: Solve for x
    x = 428,734.66/687.84
  6. Step 6: Final answer
    x = 623.31

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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.