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Finding the Fourth Proportional to 1,022.58, 1,532.88 and 406.08

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Solution

The fourth proportional to 1,022.58, 1,532.88 and 406.08 is: 608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.58 : 1,532.88 = 406.08 : x
  2. Step 2: Convert to fraction form
    1,022.58/1,532.88 = 406.08/x
  3. Step 3: Cross multiply
    1,022.58x = 1,532.88 × 406.08
  4. Step 4: Simplify right side
    1,022.58x = 622,471.91
  5. Step 5: Solve for x
    x = 622,471.91/1,022.58
  6. Step 6: Final answer
    x = 608.73

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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.