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Finding the Fourth Proportional to 1,207.81, 1,660.36 and 1,039.14

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Solution

The fourth proportional to 1,207.81, 1,660.36 and 1,039.14 is: 1,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.81 : 1,660.36 = 1,039.14 : x
  2. Step 2: Convert to fraction form
    1,207.81/1,660.36 = 1,039.14/x
  3. Step 3: Cross multiply
    1,207.81x = 1,660.36 × 1,039.14
  4. Step 4: Simplify right side
    1,207.81x = 1,725,341.29
  5. Step 5: Solve for x
    x = 1,725,341.29/1,207.81
  6. Step 6: Final answer
    x = 1,428.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.