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Finding the Fourth Proportional to 1,104.31, 1,655.93 and 617.23

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Solution

The fourth proportional to 1,104.31, 1,655.93 and 617.23 is: 925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.31 : 1,655.93 = 617.23 : x
  2. Step 2: Convert to fraction form
    1,104.31/1,655.93 = 617.23/x
  3. Step 3: Cross multiply
    1,104.31x = 1,655.93 × 617.23
  4. Step 4: Simplify right side
    1,104.31x = 1,022,086.59
  5. Step 5: Solve for x
    x = 1,022,086.59/1,104.31
  6. Step 6: Final answer
    x = 925.54

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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.