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Finding the Fourth Proportional to 687.53, 949.05 and 467.62

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Solution

The fourth proportional to 687.53, 949.05 and 467.62 is: 645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.53 : 949.05 = 467.62 : x
  2. Step 2: Convert to fraction form
    687.53/949.05 = 467.62/x
  3. Step 3: Cross multiply
    687.53x = 949.05 × 467.62
  4. Step 4: Simplify right side
    687.53x = 443,792.39
  5. Step 5: Solve for x
    x = 443,792.39/687.53
  6. Step 6: Final answer
    x = 645.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.