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Finding the Fourth Proportional to 994.61, 1,490.78 and 506.63

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Solution

The fourth proportional to 994.61, 1,490.78 and 506.63 is: 759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.61 : 1,490.78 = 506.63 : x
  2. Step 2: Convert to fraction form
    994.61/1,490.78 = 506.63/x
  3. Step 3: Cross multiply
    994.61x = 1,490.78 × 506.63
  4. Step 4: Simplify right side
    994.61x = 755,267.68
  5. Step 5: Solve for x
    x = 755,267.68/994.61
  6. Step 6: Final answer
    x = 759.36

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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.