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Finding the Fourth Proportional to 1,467.46, 2,200.96 and 542.81

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Solution

The fourth proportional to 1,467.46, 2,200.96 and 542.81 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.46 : 2,200.96 = 542.81 : x
  2. Step 2: Convert to fraction form
    1,467.46/2,200.96 = 542.81/x
  3. Step 3: Cross multiply
    1,467.46x = 2,200.96 × 542.81
  4. Step 4: Simplify right side
    1,467.46x = 1,194,693.84
  5. Step 5: Solve for x
    x = 1,194,693.84/1,467.46
  6. Step 6: Final answer
    x = 814.12

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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.