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Finding the Fourth Proportional to 976.51, 1,462.40 and 537.09

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Solution

The fourth proportional to 976.51, 1,462.40 and 537.09 is: 804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.51 : 1,462.40 = 537.09 : x
  2. Step 2: Convert to fraction form
    976.51/1,462.40 = 537.09/x
  3. Step 3: Cross multiply
    976.51x = 1,462.40 × 537.09
  4. Step 4: Simplify right side
    976.51x = 785,437.73
  5. Step 5: Solve for x
    x = 785,437.73/976.51
  6. Step 6: Final answer
    x = 804.33

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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.