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Finding the Fourth Proportional to 1,104.21, 1,656.09 and 548.35

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Solution

The fourth proportional to 1,104.21, 1,656.09 and 548.35 is: 822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.21 : 1,656.09 = 548.35 : x
  2. Step 2: Convert to fraction form
    1,104.21/1,656.09 = 548.35/x
  3. Step 3: Cross multiply
    1,104.21x = 1,656.09 × 548.35
  4. Step 4: Simplify right side
    1,104.21x = 908,110.07
  5. Step 5: Solve for x
    x = 908,110.07/1,104.21
  6. Step 6: Final answer
    x = 822.41

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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.