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Finding the Fourth Proportional to 1,053.21, 1,453.57 and 611.25

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Solution

The fourth proportional to 1,053.21, 1,453.57 and 611.25 is: 843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.21 : 1,453.57 = 611.25 : x
  2. Step 2: Convert to fraction form
    1,053.21/1,453.57 = 611.25/x
  3. Step 3: Cross multiply
    1,053.21x = 1,453.57 × 611.25
  4. Step 4: Simplify right side
    1,053.21x = 888,491.61
  5. Step 5: Solve for x
    x = 888,491.61/1,053.21
  6. Step 6: Final answer
    x = 843.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.