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Finding the Fourth Proportional to 803.80, 1,109.37 and 582.67

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Solution

The fourth proportional to 803.80, 1,109.37 and 582.67 is: 804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.80 : 1,109.37 = 582.67 : x
  2. Step 2: Convert to fraction form
    803.80/1,109.37 = 582.67/x
  3. Step 3: Cross multiply
    803.80x = 1,109.37 × 582.67
  4. Step 4: Simplify right side
    803.80x = 646,396.62
  5. Step 5: Solve for x
    x = 646,396.62/803.80
  6. Step 6: Final answer
    x = 804.18

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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.