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Finding the Fourth Proportional to 1,400.42, 2,099.12 and 578.27

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Solution

The fourth proportional to 1,400.42, 2,099.12 and 578.27 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.42 : 2,099.12 = 578.27 : x
  2. Step 2: Convert to fraction form
    1,400.42/2,099.12 = 578.27/x
  3. Step 3: Cross multiply
    1,400.42x = 2,099.12 × 578.27
  4. Step 4: Simplify right side
    1,400.42x = 1,213,860.48
  5. Step 5: Solve for x
    x = 1,213,860.48/1,400.42
  6. Step 6: Final answer
    x = 866.78

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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.