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Finding the Fourth Proportional to 996.24, 1,374.81 and 603.27

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Solution

The fourth proportional to 996.24, 1,374.81 and 603.27 is: 832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.24 : 1,374.81 = 603.27 : x
  2. Step 2: Convert to fraction form
    996.24/1,374.81 = 603.27/x
  3. Step 3: Cross multiply
    996.24x = 1,374.81 × 603.27
  4. Step 4: Simplify right side
    996.24x = 829,381.63
  5. Step 5: Solve for x
    x = 829,381.63/996.24
  6. Step 6: Final answer
    x = 832.51

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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.