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Finding the Fourth Proportional to 1,496.25, 2,243.61 and 522

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Solution

The fourth proportional to 1,496.25, 2,243.61 and 522 is: 782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.25 : 2,243.61 = 522 : x
  2. Step 2: Convert to fraction form
    1,496.25/2,243.61 = 522/x
  3. Step 3: Cross multiply
    1,496.25x = 2,243.61 × 522
  4. Step 4: Simplify right side
    1,496.25x = 1,171,164.42
  5. Step 5: Solve for x
    x = 1,171,164.42/1,496.25
  6. Step 6: Final answer
    x = 782.73

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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.