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Finding the Fourth Proportional to 1,522.26, 2,282.04 and 656.28

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Solution

The fourth proportional to 1,522.26, 2,282.04 and 656.28 is: 983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.26 : 2,282.04 = 656.28 : x
  2. Step 2: Convert to fraction form
    1,522.26/2,282.04 = 656.28/x
  3. Step 3: Cross multiply
    1,522.26x = 2,282.04 × 656.28
  4. Step 4: Simplify right side
    1,522.26x = 1,497,657.21
  5. Step 5: Solve for x
    x = 1,497,657.21/1,522.26
  6. Step 6: Final answer
    x = 983.84

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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.