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Finding the Fourth Proportional to 1,052.59, 1,578.44 and 322

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Solution

The fourth proportional to 1,052.59, 1,578.44 and 322 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.59 : 1,578.44 = 322 : x
  2. Step 2: Convert to fraction form
    1,052.59/1,578.44 = 322/x
  3. Step 3: Cross multiply
    1,052.59x = 1,578.44 × 322
  4. Step 4: Simplify right side
    1,052.59x = 508,257.68
  5. Step 5: Solve for x
    x = 508,257.68/1,052.59
  6. Step 6: Final answer
    x = 482.86

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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.