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Finding the Fourth Proportional to 1,059.45, 1,589.15 and 328.94

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Solution

The fourth proportional to 1,059.45, 1,589.15 and 328.94 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.45 : 1,589.15 = 328.94 : x
  2. Step 2: Convert to fraction form
    1,059.45/1,589.15 = 328.94/x
  3. Step 3: Cross multiply
    1,059.45x = 1,589.15 × 328.94
  4. Step 4: Simplify right side
    1,059.45x = 522,725.41
  5. Step 5: Solve for x
    x = 522,725.41/1,059.45
  6. Step 6: Final answer
    x = 493.39

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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.