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Finding the Fourth Proportional to 996.51, 1,494.31 and 534.21

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Solution

The fourth proportional to 996.51, 1,494.31 and 534.21 is: 801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.51 : 1,494.31 = 534.21 : x
  2. Step 2: Convert to fraction form
    996.51/1,494.31 = 534.21/x
  3. Step 3: Cross multiply
    996.51x = 1,494.31 × 534.21
  4. Step 4: Simplify right side
    996.51x = 798,275.35
  5. Step 5: Solve for x
    x = 798,275.35/996.51
  6. Step 6: Final answer
    x = 801.07

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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.