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Finding the Fourth Proportional to 806.89, 1,210.34 and 532.92

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Solution

The fourth proportional to 806.89, 1,210.34 and 532.92 is: 799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.89 : 1,210.34 = 532.92 : x
  2. Step 2: Convert to fraction form
    806.89/1,210.34 = 532.92/x
  3. Step 3: Cross multiply
    806.89x = 1,210.34 × 532.92
  4. Step 4: Simplify right side
    806.89x = 645,011.73
  5. Step 5: Solve for x
    x = 645,011.73/806.89
  6. Step 6: Final answer
    x = 799.38

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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.