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Finding the Fourth Proportional to 996.26, 1,494 and 585.50

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Solution

The fourth proportional to 996.26, 1,494 and 585.50 is: 878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.26 : 1,494 = 585.50 : x
  2. Step 2: Convert to fraction form
    996.26/1,494 = 585.50/x
  3. Step 3: Cross multiply
    996.26x = 1,494 × 585.50
  4. Step 4: Simplify right side
    996.26x = 874,737
  5. Step 5: Solve for x
    x = 874,737/996.26
  6. Step 6: Final answer
    x = 878.02

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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.