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Finding the Fourth Proportional to 1,400.20, 2,099.84 and 578.52

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Solution

The fourth proportional to 1,400.20, 2,099.84 and 578.52 is: 867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.20 : 2,099.84 = 578.52 : x
  2. Step 2: Convert to fraction form
    1,400.20/2,099.84 = 578.52/x
  3. Step 3: Cross multiply
    1,400.20x = 2,099.84 × 578.52
  4. Step 4: Simplify right side
    1,400.20x = 1,214,799.44
  5. Step 5: Solve for x
    x = 1,214,799.44/1,400.20
  6. Step 6: Final answer
    x = 867.59

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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.