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Finding the Fourth Proportional to 1,216.44, 1,824.78 and 522.78

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Solution

The fourth proportional to 1,216.44, 1,824.78 and 522.78 is: 784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.44 : 1,824.78 = 522.78 : x
  2. Step 2: Convert to fraction form
    1,216.44/1,824.78 = 522.78/x
  3. Step 3: Cross multiply
    1,216.44x = 1,824.78 × 522.78
  4. Step 4: Simplify right side
    1,216.44x = 953,958.49
  5. Step 5: Solve for x
    x = 953,958.49/1,216.44
  6. Step 6: Final answer
    x = 784.22

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1.5x scale

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.