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Finding the Fourth Proportional to 1,102.33, 1,653.66 and 486.33

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Solution

The fourth proportional to 1,102.33, 1,653.66 and 486.33 is: 729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.33 : 1,653.66 = 486.33 : x
  2. Step 2: Convert to fraction form
    1,102.33/1,653.66 = 486.33/x
  3. Step 3: Cross multiply
    1,102.33x = 1,653.66 × 486.33
  4. Step 4: Simplify right side
    1,102.33x = 804,224.47
  5. Step 5: Solve for x
    x = 804,224.47/1,102.33
  6. Step 6: Final answer
    x = 729.57

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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.