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Finding the Fourth Proportional to 991.14, 1,487.64 and 504.54

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Solution

The fourth proportional to 991.14, 1,487.64 and 504.54 is: 757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.14 : 1,487.64 = 504.54 : x
  2. Step 2: Convert to fraction form
    991.14/1,487.64 = 504.54/x
  3. Step 3: Cross multiply
    991.14x = 1,487.64 × 504.54
  4. Step 4: Simplify right side
    991.14x = 750,573.89
  5. Step 5: Solve for x
    x = 750,573.89/991.14
  6. Step 6: Final answer
    x = 757.28

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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.