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Finding the Fourth Proportional to 983.64, 1,468.31 and 910.44

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Solution

The fourth proportional to 983.64, 1,468.31 and 910.44 is: 1,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.64 : 1,468.31 = 910.44 : x
  2. Step 2: Convert to fraction form
    983.64/1,468.31 = 910.44/x
  3. Step 3: Cross multiply
    983.64x = 1,468.31 × 910.44
  4. Step 4: Simplify right side
    983.64x = 1,336,803.60
  5. Step 5: Solve for x
    x = 1,336,803.60/983.64
  6. Step 6: Final answer
    x = 1,359.04

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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.