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Finding the Fourth Proportional to 1,205.34, 1,811.25 and 920.22

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Solution

The fourth proportional to 1,205.34, 1,811.25 and 920.22 is: 1,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.34 : 1,811.25 = 920.22 : x
  2. Step 2: Convert to fraction form
    1,205.34/1,811.25 = 920.22/x
  3. Step 3: Cross multiply
    1,205.34x = 1,811.25 × 920.22
  4. Step 4: Simplify right side
    1,205.34x = 1,666,748.48
  5. Step 5: Solve for x
    x = 1,666,748.48/1,205.34
  6. Step 6: Final answer
    x = 1,382.80

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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.