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Finding the Fourth Proportional to 999.25, 1,497.85 and 414.66

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Solution

The fourth proportional to 999.25, 1,497.85 and 414.66 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.25 : 1,497.85 = 414.66 : x
  2. Step 2: Convert to fraction form
    999.25/1,497.85 = 414.66/x
  3. Step 3: Cross multiply
    999.25x = 1,497.85 × 414.66
  4. Step 4: Simplify right side
    999.25x = 621,098.48
  5. Step 5: Solve for x
    x = 621,098.48/999.25
  6. Step 6: Final answer
    x = 621.56

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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.