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Finding the Fourth Proportional to 1,116.28, 1,662.62 and 1,057.72

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Solution

The fourth proportional to 1,116.28, 1,662.62 and 1,057.72 is: 1,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.28 : 1,662.62 = 1,057.72 : x
  2. Step 2: Convert to fraction form
    1,116.28/1,662.62 = 1,057.72/x
  3. Step 3: Cross multiply
    1,116.28x = 1,662.62 × 1,057.72
  4. Step 4: Simplify right side
    1,116.28x = 1,758,586.43
  5. Step 5: Solve for x
    x = 1,758,586.43/1,116.28
  6. Step 6: Final answer
    x = 1,575.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.