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Finding the Fourth Proportional to 936.96, 1,406.64 and 682.08

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Solution

The fourth proportional to 936.96, 1,406.64 and 682.08 is: 1,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,406.64 = 682.08 : x
  2. Step 2: Convert to fraction form
    936.96/1,406.64 = 682.08/x
  3. Step 3: Cross multiply
    936.96x = 1,406.64 × 682.08
  4. Step 4: Simplify right side
    936.96x = 959,441.01
  5. Step 5: Solve for x
    x = 959,441.01/936.96
  6. Step 6: Final answer
    x = 1,023.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.