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Finding the Fourth Proportional to 999.68, 1,499.21 and 414.65

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Solution

The fourth proportional to 999.68, 1,499.21 and 414.65 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.68 : 1,499.21 = 414.65 : x
  2. Step 2: Convert to fraction form
    999.68/1,499.21 = 414.65/x
  3. Step 3: Cross multiply
    999.68x = 1,499.21 × 414.65
  4. Step 4: Simplify right side
    999.68x = 621,650.66
  5. Step 5: Solve for x
    x = 621,650.66/999.68
  6. Step 6: Final answer
    x = 621.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.