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Finding the Fourth Proportional to 1,399.92, 2,100 and 533.76

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Solution

The fourth proportional to 1,399.92, 2,100 and 533.76 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.92 : 2,100 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,399.92/2,100 = 533.76/x
  3. Step 3: Cross multiply
    1,399.92x = 2,100 × 533.76
  4. Step 4: Simplify right side
    1,399.92x = 1,120,896
  5. Step 5: Solve for x
    x = 1,120,896/1,399.92
  6. Step 6: Final answer
    x = 800.69

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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.