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Finding the Fourth Proportional to 1,112.64, 1,657.68 and 1,057.56

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Solution

The fourth proportional to 1,112.64, 1,657.68 and 1,057.56 is: 1,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.64 : 1,657.68 = 1,057.56 : x
  2. Step 2: Convert to fraction form
    1,112.64/1,657.68 = 1,057.56/x
  3. Step 3: Cross multiply
    1,112.64x = 1,657.68 × 1,057.56
  4. Step 4: Simplify right side
    1,112.64x = 1,753,096.06
  5. Step 5: Solve for x
    x = 1,753,096.06/1,112.64
  6. Step 6: Final answer
    x = 1,575.62

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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.