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Finding the Fourth Proportional to 1,100.66, 1,649.50 and 515.90

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Solution

The fourth proportional to 1,100.66, 1,649.50 and 515.90 is: 773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.66 : 1,649.50 = 515.90 : x
  2. Step 2: Convert to fraction form
    1,100.66/1,649.50 = 515.90/x
  3. Step 3: Cross multiply
    1,100.66x = 1,649.50 × 515.90
  4. Step 4: Simplify right side
    1,100.66x = 850,979.88
  5. Step 5: Solve for x
    x = 850,979.88/1,100.66
  6. Step 6: Final answer
    x = 773.16

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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.