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Finding the Fourth Proportional to 1,053.05, 1,453.27 and 610.79

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Solution

The fourth proportional to 1,053.05, 1,453.27 and 610.79 is: 842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.05 : 1,453.27 = 610.79 : x
  2. Step 2: Convert to fraction form
    1,053.05/1,453.27 = 610.79/x
  3. Step 3: Cross multiply
    1,053.05x = 1,453.27 × 610.79
  4. Step 4: Simplify right side
    1,053.05x = 887,633.99
  5. Step 5: Solve for x
    x = 887,633.99/1,053.05
  6. Step 6: Final answer
    x = 842.92

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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.