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Finding the Fourth Proportional to 1,090.45, 1,633.41 and 533.48

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Solution

The fourth proportional to 1,090.45, 1,633.41 and 533.48 is: 799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.45 : 1,633.41 = 533.48 : x
  2. Step 2: Convert to fraction form
    1,090.45/1,633.41 = 533.48/x
  3. Step 3: Cross multiply
    1,090.45x = 1,633.41 × 533.48
  4. Step 4: Simplify right side
    1,090.45x = 871,386.49
  5. Step 5: Solve for x
    x = 871,386.49/1,090.45
  6. Step 6: Final answer
    x = 799.11

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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.