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Finding the Fourth Proportional to 1,121.64, 1,683.28 and 574.24

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Solution

The fourth proportional to 1,121.64, 1,683.28 and 574.24 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.64 : 1,683.28 = 574.24 : x
  2. Step 2: Convert to fraction form
    1,121.64/1,683.28 = 574.24/x
  3. Step 3: Cross multiply
    1,121.64x = 1,683.28 × 574.24
  4. Step 4: Simplify right side
    1,121.64x = 966,606.71
  5. Step 5: Solve for x
    x = 966,606.71/1,121.64
  6. Step 6: Final answer
    x = 861.78

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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.