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Finding the Fourth Proportional to 974.94, 1,463.27 and 610.44

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Solution

The fourth proportional to 974.94, 1,463.27 and 610.44 is: 916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.94 : 1,463.27 = 610.44 : x
  2. Step 2: Convert to fraction form
    974.94/1,463.27 = 610.44/x
  3. Step 3: Cross multiply
    974.94x = 1,463.27 × 610.44
  4. Step 4: Simplify right side
    974.94x = 893,235.49
  5. Step 5: Solve for x
    x = 893,235.49/974.94
  6. Step 6: Final answer
    x = 916.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.