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Finding the Fourth Proportional to 1,022.68, 1,534.38 and 406.18

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Solution

The fourth proportional to 1,022.68, 1,534.38 and 406.18 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.68 : 1,534.38 = 406.18 : x
  2. Step 2: Convert to fraction form
    1,022.68/1,534.38 = 406.18/x
  3. Step 3: Cross multiply
    1,022.68x = 1,534.38 × 406.18
  4. Step 4: Simplify right side
    1,022.68x = 623,234.47
  5. Step 5: Solve for x
    x = 623,234.47/1,022.68
  6. Step 6: Final answer
    x = 609.41

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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.