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Finding the Fourth Proportional to 983.90, 1,357.08 and 939.62

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Solution

The fourth proportional to 983.90, 1,357.08 and 939.62 is: 1,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.90 : 1,357.08 = 939.62 : x
  2. Step 2: Convert to fraction form
    983.90/1,357.08 = 939.62/x
  3. Step 3: Cross multiply
    983.90x = 1,357.08 × 939.62
  4. Step 4: Simplify right side
    983.90x = 1,275,139.51
  5. Step 5: Solve for x
    x = 1,275,139.51/983.90
  6. Step 6: Final answer
    x = 1,296.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.