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Finding the Fourth Proportional to 994.87, 1,489.50 and 506.88

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Solution

The fourth proportional to 994.87, 1,489.50 and 506.88 is: 758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.87 : 1,489.50 = 506.88 : x
  2. Step 2: Convert to fraction form
    994.87/1,489.50 = 506.88/x
  3. Step 3: Cross multiply
    994.87x = 1,489.50 × 506.88
  4. Step 4: Simplify right side
    994.87x = 754,997.76
  5. Step 5: Solve for x
    x = 754,997.76/994.87
  6. Step 6: Final answer
    x = 758.89

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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.