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Finding the Fourth Proportional to 936.16, 1,406.52 and 663.04

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Solution

The fourth proportional to 936.16, 1,406.52 and 663.04 is: 996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.16 : 1,406.52 = 663.04 : x
  2. Step 2: Convert to fraction form
    936.16/1,406.52 = 663.04/x
  3. Step 3: Cross multiply
    936.16x = 1,406.52 × 663.04
  4. Step 4: Simplify right side
    936.16x = 932,579.02
  5. Step 5: Solve for x
    x = 932,579.02/936.16
  6. Step 6: Final answer
    x = 996.17

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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.