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Finding the Fourth Proportional to 1,344, 2,014.76 and 522.24

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Solution

The fourth proportional to 1,344, 2,014.76 and 522.24 is: 782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344 : 2,014.76 = 522.24 : x
  2. Step 2: Convert to fraction form
    1,344/2,014.76 = 522.24/x
  3. Step 3: Cross multiply
    1,344x = 2,014.76 × 522.24
  4. Step 4: Simplify right side
    1,344x = 1,052,188.26
  5. Step 5: Solve for x
    x = 1,052,188.26/1,344
  6. Step 6: Final answer
    x = 782.88

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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.