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Finding the Fourth Proportional to 996.26, 1,494.35 and 476.62

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Solution

The fourth proportional to 996.26, 1,494.35 and 476.62 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.26 : 1,494.35 = 476.62 : x
  2. Step 2: Convert to fraction form
    996.26/1,494.35 = 476.62/x
  3. Step 3: Cross multiply
    996.26x = 1,494.35 × 476.62
  4. Step 4: Simplify right side
    996.26x = 712,237.10
  5. Step 5: Solve for x
    x = 712,237.10/996.26
  6. Step 6: Final answer
    x = 714.91

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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.