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Finding the Fourth Proportional to 1,102.26, 1,651.95 and 453.48

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Solution

The fourth proportional to 1,102.26, 1,651.95 and 453.48 is: 679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.26 : 1,651.95 = 453.48 : x
  2. Step 2: Convert to fraction form
    1,102.26/1,651.95 = 453.48/x
  3. Step 3: Cross multiply
    1,102.26x = 1,651.95 × 453.48
  4. Step 4: Simplify right side
    1,102.26x = 749,126.29
  5. Step 5: Solve for x
    x = 749,126.29/1,102.26
  6. Step 6: Final answer
    x = 679.63

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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.