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Finding the Fourth Proportional to 687.89, 949.05 and 466.97

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Solution

The fourth proportional to 687.89, 949.05 and 466.97 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.89 : 949.05 = 466.97 : x
  2. Step 2: Convert to fraction form
    687.89/949.05 = 466.97/x
  3. Step 3: Cross multiply
    687.89x = 949.05 × 466.97
  4. Step 4: Simplify right side
    687.89x = 443,173.13
  5. Step 5: Solve for x
    x = 443,173.13/687.89
  6. Step 6: Final answer
    x = 644.25

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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.