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Finding the Fourth Proportional to 1,399.98, 2,099.80 and 578.15

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Solution

The fourth proportional to 1,399.98, 2,099.80 and 578.15 is: 867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.98 : 2,099.80 = 578.15 : x
  2. Step 2: Convert to fraction form
    1,399.98/2,099.80 = 578.15/x
  3. Step 3: Cross multiply
    1,399.98x = 2,099.80 × 578.15
  4. Step 4: Simplify right side
    1,399.98x = 1,213,997.47
  5. Step 5: Solve for x
    x = 1,213,997.47/1,399.98
  6. Step 6: Final answer
    x = 867.15

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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.