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Finding the Fourth Proportional to 1,399.92, 2,099.57 and 577.98

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Solution

The fourth proportional to 1,399.92, 2,099.57 and 577.98 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.92 : 2,099.57 = 577.98 : x
  2. Step 2: Convert to fraction form
    1,399.92/2,099.57 = 577.98/x
  3. Step 3: Cross multiply
    1,399.92x = 2,099.57 × 577.98
  4. Step 4: Simplify right side
    1,399.92x = 1,213,498.97
  5. Step 5: Solve for x
    x = 1,213,498.97/1,399.92
  6. Step 6: Final answer
    x = 866.84

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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.