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Finding the Fourth Proportional to 1,090.78, 1,635.31 and 542.66

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Solution

The fourth proportional to 1,090.78, 1,635.31 and 542.66 is: 813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.78 : 1,635.31 = 542.66 : x
  2. Step 2: Convert to fraction form
    1,090.78/1,635.31 = 542.66/x
  3. Step 3: Cross multiply
    1,090.78x = 1,635.31 × 542.66
  4. Step 4: Simplify right side
    1,090.78x = 887,415.97
  5. Step 5: Solve for x
    x = 887,415.97/1,090.78
  6. Step 6: Final answer
    x = 813.56

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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.