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Finding the Fourth Proportional to 1,100.02, 1,649.99 and 330.50

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Solution

The fourth proportional to 1,100.02, 1,649.99 and 330.50 is: 495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.02 : 1,649.99 = 330.50 : x
  2. Step 2: Convert to fraction form
    1,100.02/1,649.99 = 330.50/x
  3. Step 3: Cross multiply
    1,100.02x = 1,649.99 × 330.50
  4. Step 4: Simplify right side
    1,100.02x = 545,321.70
  5. Step 5: Solve for x
    x = 545,321.70/1,100.02
  6. Step 6: Final answer
    x = 495.74

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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.