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Finding the Fourth Proportional to 996.76, 1,494.75 and 586

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Solution

The fourth proportional to 996.76, 1,494.75 and 586 is: 878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.76 : 1,494.75 = 586 : x
  2. Step 2: Convert to fraction form
    996.76/1,494.75 = 586/x
  3. Step 3: Cross multiply
    996.76x = 1,494.75 × 586
  4. Step 4: Simplify right side
    996.76x = 875,923.50
  5. Step 5: Solve for x
    x = 875,923.50/996.76
  6. Step 6: Final answer
    x = 878.77

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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.