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Finding the Fourth Proportional to 687.72, 948.80 and 407.96

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Solution

The fourth proportional to 687.72, 948.80 and 407.96 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.72 : 948.80 = 407.96 : x
  2. Step 2: Convert to fraction form
    687.72/948.80 = 407.96/x
  3. Step 3: Cross multiply
    687.72x = 948.80 × 407.96
  4. Step 4: Simplify right side
    687.72x = 387,072.45
  5. Step 5: Solve for x
    x = 387,072.45/687.72
  6. Step 6: Final answer
    x = 562.83

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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.