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Finding the Fourth Proportional to 999.53, 1,498.92 and 414.50

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Solution

The fourth proportional to 999.53, 1,498.92 and 414.50 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.53 : 1,498.92 = 414.50 : x
  2. Step 2: Convert to fraction form
    999.53/1,498.92 = 414.50/x
  3. Step 3: Cross multiply
    999.53x = 1,498.92 × 414.50
  4. Step 4: Simplify right side
    999.53x = 621,294.85
  5. Step 5: Solve for x
    x = 621,294.85/999.53
  6. Step 6: Final answer
    x = 621.59

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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.