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Finding the Fourth Proportional to 1,099.80, 1,649.29 and 475.05

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Solution

The fourth proportional to 1,099.80, 1,649.29 and 475.05 is: 712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.80 : 1,649.29 = 475.05 : x
  2. Step 2: Convert to fraction form
    1,099.80/1,649.29 = 475.05/x
  3. Step 3: Cross multiply
    1,099.80x = 1,649.29 × 475.05
  4. Step 4: Simplify right side
    1,099.80x = 783,495.21
  5. Step 5: Solve for x
    x = 783,495.21/1,099.80
  6. Step 6: Final answer
    x = 712.40

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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.