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Finding the Fourth Proportional to 687.84, 949.92 and 467.04

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Solution

The fourth proportional to 687.84, 949.92 and 467.04 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 949.92 = 467.04 : x
  2. Step 2: Convert to fraction form
    687.84/949.92 = 467.04/x
  3. Step 3: Cross multiply
    687.84x = 949.92 × 467.04
  4. Step 4: Simplify right side
    687.84x = 443,650.64
  5. Step 5: Solve for x
    x = 443,650.64/687.84
  6. Step 6: Final answer
    x = 644.99

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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.