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Finding the Fourth Proportional to 1,022.17, 1,532.62 and 437.55

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Solution

The fourth proportional to 1,022.17, 1,532.62 and 437.55 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.17 : 1,532.62 = 437.55 : x
  2. Step 2: Convert to fraction form
    1,022.17/1,532.62 = 437.55/x
  3. Step 3: Cross multiply
    1,022.17x = 1,532.62 × 437.55
  4. Step 4: Simplify right side
    1,022.17x = 670,601.30
  5. Step 5: Solve for x
    x = 670,601.30/1,022.17
  6. Step 6: Final answer
    x = 656.06

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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.