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Finding the Fourth Proportional to 1,100, 1,650.24 and 416

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Solution

The fourth proportional to 1,100, 1,650.24 and 416 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100 : 1,650.24 = 416 : x
  2. Step 2: Convert to fraction form
    1,100/1,650.24 = 416/x
  3. Step 3: Cross multiply
    1,100x = 1,650.24 × 416
  4. Step 4: Simplify right side
    1,100x = 686,499.84
  5. Step 5: Solve for x
    x = 686,499.84/1,100
  6. Step 6: Final answer
    x = 624.09

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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.