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Finding the Fourth Proportional to 996.79, 1,494.68 and 586.05

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Solution

The fourth proportional to 996.79, 1,494.68 and 586.05 is: 878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.79 : 1,494.68 = 586.05 : x
  2. Step 2: Convert to fraction form
    996.79/1,494.68 = 586.05/x
  3. Step 3: Cross multiply
    996.79x = 1,494.68 × 586.05
  4. Step 4: Simplify right side
    996.79x = 875,954.28
  5. Step 5: Solve for x
    x = 875,954.28/996.79
  6. Step 6: Final answer
    x = 878.78

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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.