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Finding the Fourth Proportional to 996.14, 1,374.45 and 603.16

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Solution

The fourth proportional to 996.14, 1,374.45 and 603.16 is: 832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.14 : 1,374.45 = 603.16 : x
  2. Step 2: Convert to fraction form
    996.14/1,374.45 = 603.16/x
  3. Step 3: Cross multiply
    996.14x = 1,374.45 × 603.16
  4. Step 4: Simplify right side
    996.14x = 829,006.39
  5. Step 5: Solve for x
    x = 829,006.39/996.14
  6. Step 6: Final answer
    x = 832.22

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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.