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Finding the Fourth Proportional to 927.21, 1,382.98 and 788.70

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Solution

The fourth proportional to 927.21, 1,382.98 and 788.70 is: 1,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.21 : 1,382.98 = 788.70 : x
  2. Step 2: Convert to fraction form
    927.21/1,382.98 = 788.70/x
  3. Step 3: Cross multiply
    927.21x = 1,382.98 × 788.70
  4. Step 4: Simplify right side
    927.21x = 1,090,752.38
  5. Step 5: Solve for x
    x = 1,090,752.38/927.21
  6. Step 6: Final answer
    x = 1,176.38

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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.