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Finding the Fourth Proportional to 811.76, 1,120.23 and 438.74

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Solution

The fourth proportional to 811.76, 1,120.23 and 438.74 is: 605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.76 : 1,120.23 = 438.74 : x
  2. Step 2: Convert to fraction form
    811.76/1,120.23 = 438.74/x
  3. Step 3: Cross multiply
    811.76x = 1,120.23 × 438.74
  4. Step 4: Simplify right side
    811.76x = 491,491.46
  5. Step 5: Solve for x
    x = 491,491.46/811.76
  6. Step 6: Final answer
    x = 605.47

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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.