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Finding the Fourth Proportional to 1,496.54, 2,245.17 and 522.62

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Solution

The fourth proportional to 1,496.54, 2,245.17 and 522.62 is: 784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.54 : 2,245.17 = 522.62 : x
  2. Step 2: Convert to fraction form
    1,496.54/2,245.17 = 522.62/x
  3. Step 3: Cross multiply
    1,496.54x = 2,245.17 × 522.62
  4. Step 4: Simplify right side
    1,496.54x = 1,173,370.75
  5. Step 5: Solve for x
    x = 1,173,370.75/1,496.54
  6. Step 6: Final answer
    x = 784.06

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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.