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Finding the Fourth Proportional to 1,090.95, 1,634.16 and 533.98

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Solution

The fourth proportional to 1,090.95, 1,634.16 and 533.98 is: 799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.95 : 1,634.16 = 533.98 : x
  2. Step 2: Convert to fraction form
    1,090.95/1,634.16 = 533.98/x
  3. Step 3: Cross multiply
    1,090.95x = 1,634.16 × 533.98
  4. Step 4: Simplify right side
    1,090.95x = 872,606.09
  5. Step 5: Solve for x
    x = 872,606.09/1,090.95
  6. Step 6: Final answer
    x = 799.86

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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.