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Finding the Fourth Proportional to 1,532.75, 2,299.17 and 378.50

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Solution

The fourth proportional to 1,532.75, 2,299.17 and 378.50 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.75 : 2,299.17 = 378.50 : x
  2. Step 2: Convert to fraction form
    1,532.75/2,299.17 = 378.50/x
  3. Step 3: Cross multiply
    1,532.75x = 2,299.17 × 378.50
  4. Step 4: Simplify right side
    1,532.75x = 870,235.85
  5. Step 5: Solve for x
    x = 870,235.85/1,532.75
  6. Step 6: Final answer
    x = 567.76

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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.