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Finding the Fourth Proportional to 996.07, 1,492.98 and 508.09

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Solution

The fourth proportional to 996.07, 1,492.98 and 508.09 is: 761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.07 : 1,492.98 = 508.09 : x
  2. Step 2: Convert to fraction form
    996.07/1,492.98 = 508.09/x
  3. Step 3: Cross multiply
    996.07x = 1,492.98 × 508.09
  4. Step 4: Simplify right side
    996.07x = 758,568.21
  5. Step 5: Solve for x
    x = 758,568.21/996.07
  6. Step 6: Final answer
    x = 761.56

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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.