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Finding the Fourth Proportional to 937.71, 1,293.40 and 716.28

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Solution

The fourth proportional to 937.71, 1,293.40 and 716.28 is: 987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.71 : 1,293.40 = 716.28 : x
  2. Step 2: Convert to fraction form
    937.71/1,293.40 = 716.28/x
  3. Step 3: Cross multiply
    937.71x = 1,293.40 × 716.28
  4. Step 4: Simplify right side
    937.71x = 926,432.60
  5. Step 5: Solve for x
    x = 926,432.60/937.71
  6. Step 6: Final answer
    x = 987.97

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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.