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Finding the Fourth Proportional to 1,179.25, 1,766.58 and 562.11

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Solution

The fourth proportional to 1,179.25, 1,766.58 and 562.11 is: 842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.25 : 1,766.58 = 562.11 : x
  2. Step 2: Convert to fraction form
    1,179.25/1,766.58 = 562.11/x
  3. Step 3: Cross multiply
    1,179.25x = 1,766.58 × 562.11
  4. Step 4: Simplify right side
    1,179.25x = 993,012.28
  5. Step 5: Solve for x
    x = 993,012.28/1,179.25
  6. Step 6: Final answer
    x = 842.07

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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.