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Finding the Fourth Proportional to 1,122.51, 1,680.76 and 1,057.81

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Solution

The fourth proportional to 1,122.51, 1,680.76 and 1,057.81 is: 1,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.51 : 1,680.76 = 1,057.81 : x
  2. Step 2: Convert to fraction form
    1,122.51/1,680.76 = 1,057.81/x
  3. Step 3: Cross multiply
    1,122.51x = 1,680.76 × 1,057.81
  4. Step 4: Simplify right side
    1,122.51x = 1,777,924.74
  5. Step 5: Solve for x
    x = 1,777,924.74/1,122.51
  6. Step 6: Final answer
    x = 1,583.88

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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.