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Finding the Fourth Proportional to 714.94, 1,072.41 and 201.94

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Solution

The fourth proportional to 714.94, 1,072.41 and 201.94 is: 302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 1,072.41 = 201.94 : x
  2. Step 2: Convert to fraction form
    714.94/1,072.41 = 201.94/x
  3. Step 3: Cross multiply
    714.94x = 1,072.41 × 201.94
  4. Step 4: Simplify right side
    714.94x = 216,562.48
  5. Step 5: Solve for x
    x = 216,562.48/714.94
  6. Step 6: Final answer
    x = 302.91

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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.