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Finding the Fourth Proportional to 1,205.19, 1,808.25 and 717.96

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Solution

The fourth proportional to 1,205.19, 1,808.25 and 717.96 is: 1,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.19 : 1,808.25 = 717.96 : x
  2. Step 2: Convert to fraction form
    1,205.19/1,808.25 = 717.96/x
  3. Step 3: Cross multiply
    1,205.19x = 1,808.25 × 717.96
  4. Step 4: Simplify right side
    1,205.19x = 1,298,251.17
  5. Step 5: Solve for x
    x = 1,298,251.17/1,205.19
  6. Step 6: Final answer
    x = 1,077.22

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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.