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Finding the Fourth Proportional to 1,289.35, 1,930.24 and 800.92

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Solution

The fourth proportional to 1,289.35, 1,930.24 and 800.92 is: 1,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.35 : 1,930.24 = 800.92 : x
  2. Step 2: Convert to fraction form
    1,289.35/1,930.24 = 800.92/x
  3. Step 3: Cross multiply
    1,289.35x = 1,930.24 × 800.92
  4. Step 4: Simplify right side
    1,289.35x = 1,545,967.82
  5. Step 5: Solve for x
    x = 1,545,967.82/1,289.35
  6. Step 6: Final answer
    x = 1,199.03

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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.