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Finding the Fourth Proportional to 1,146.22, 1,719.33 and 280.53

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Solution

The fourth proportional to 1,146.22, 1,719.33 and 280.53 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.22 : 1,719.33 = 280.53 : x
  2. Step 2: Convert to fraction form
    1,146.22/1,719.33 = 280.53/x
  3. Step 3: Cross multiply
    1,146.22x = 1,719.33 × 280.53
  4. Step 4: Simplify right side
    1,146.22x = 482,323.64
  5. Step 5: Solve for x
    x = 482,323.64/1,146.22
  6. Step 6: Final answer
    x = 420.80

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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.