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Finding the Fourth Proportional to 996.25, 1,374.89 and 554.16

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Solution

The fourth proportional to 996.25, 1,374.89 and 554.16 is: 764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.25 : 1,374.89 = 554.16 : x
  2. Step 2: Convert to fraction form
    996.25/1,374.89 = 554.16/x
  3. Step 3: Cross multiply
    996.25x = 1,374.89 × 554.16
  4. Step 4: Simplify right side
    996.25x = 761,909.04
  5. Step 5: Solve for x
    x = 761,909.04/996.25
  6. Step 6: Final answer
    x = 764.78

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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.