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Finding the Fourth Proportional to 833.54, 1,251.70 and 800.43

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Solution

The fourth proportional to 833.54, 1,251.70 and 800.43 is: 1,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.54 : 1,251.70 = 800.43 : x
  2. Step 2: Convert to fraction form
    833.54/1,251.70 = 800.43/x
  3. Step 3: Cross multiply
    833.54x = 1,251.70 × 800.43
  4. Step 4: Simplify right side
    833.54x = 1,001,898.23
  5. Step 5: Solve for x
    x = 1,001,898.23/833.54
  6. Step 6: Final answer
    x = 1,201.98

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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.