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Finding the Fourth Proportional to 990.25, 1,366.53 and 548.14

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Solution

The fourth proportional to 990.25, 1,366.53 and 548.14 is: 756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.25 : 1,366.53 = 548.14 : x
  2. Step 2: Convert to fraction form
    990.25/1,366.53 = 548.14/x
  3. Step 3: Cross multiply
    990.25x = 1,366.53 × 548.14
  4. Step 4: Simplify right side
    990.25x = 749,049.75
  5. Step 5: Solve for x
    x = 749,049.75/990.25
  6. Step 6: Final answer
    x = 756.42

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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.