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Finding the Fourth Proportional to 687.84, 949.50 and 512.88

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Solution

The fourth proportional to 687.84, 949.50 and 512.88 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.84 : 949.50 = 512.88 : x
  2. Step 2: Convert to fraction form
    687.84/949.50 = 512.88/x
  3. Step 3: Cross multiply
    687.84x = 949.50 × 512.88
  4. Step 4: Simplify right side
    687.84x = 486,979.56
  5. Step 5: Solve for x
    x = 486,979.56/687.84
  6. Step 6: Final answer
    x = 707.98

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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.