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Finding the Fourth Proportional to 999.31, 1,498.77 and 414.59

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Solution

The fourth proportional to 999.31, 1,498.77 and 414.59 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.31 : 1,498.77 = 414.59 : x
  2. Step 2: Convert to fraction form
    999.31/1,498.77 = 414.59/x
  3. Step 3: Cross multiply
    999.31x = 1,498.77 × 414.59
  4. Step 4: Simplify right side
    999.31x = 621,375.05
  5. Step 5: Solve for x
    x = 621,375.05/999.31
  6. Step 6: Final answer
    x = 621.80

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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.